Trigonometry Questions and Answers

The angle of elevation of a flying kite is 65 11 10 If the other end of the 114 foot long string attached to the kite is tied to the ground what is the approximate height of the kite Round your solution to the nearest foot Answer 2 Points Keypa Keyboard Shortc

Determine the exact value of the following expression Answer 2 Points Cox 1727 COS

Express the following as an algebraic function of x Answer 2 Points sin sin 2x cos 2x

Question 17 of 39 Step 1 of 1 Solve the following equation on the interval 0 360 Separate multiple answers with a comma Remember to include a degree symbol 4sinx cosx Answer 2 Points cost 0 Keyboard

A 40 foot ladder is leaning against a building The foot of the ladder is 32 feet from the building Find the angle that the ladder makes with the building to the nearest tenth wall ladder

2 On a windy day a 90 foot rope tightly secures a hot air balloon to a stake in the ground From the balloon the angle of depression of the stake is 62 Find to the nearest foot the height of the balloon assuming the wind to be constant 62 90

1 Find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58 Find the length to the nearest tenth of a foot 58 Munds com 10 feet I

Sketch theta 135 deg in standard position

A mountain climber is headed to the top of a mountain He climbs 460 meters up the mountain that has a 33 degree angle of elevation Find the climber s altitude after his hike vertical distance from the ground Round to the nearest tenth The mountain climber s altitude is meters from the ground

Problem 6 20 Find the exact solutions to the trig equations for r 0 2 a 4 sin x 2 0 b 2 tan x 1 1

Problem 5 15 A temporary ramp that is 15 feet long is placed to reach an entrance door that is 4 feet above the ground What is the angle of elevation of the ramp Round your answer to the nearest tenth

Problem 4 15 For the given expression sin 120 a Identify quadrant in which angle is located b Find reference angle c Calculate the exact value

Problem 7 20 For the information given state the value of the five remaining tr functions of 0 3 sin and cos 0 0 5

Determine y for the area shown in Figure 9 1 1 5 FIGURE 9 1 2 2 X

Given that cos 20 sin 0 cos 0 tan 0 1 20 2 find the exact value of the following trigonometric functions of 0

Calculate the moment about point A shown in Figure 2 A FIGURE 2 400 N 2 5m 3 5 m 100 N 3 1 5m 200 N

A ship sails out from the port at S 50 W It sails for 5 miles and then makes a left turn for 8 miles At this point what is the bearing from the port to the ship A 32 01 B 57 99

Select the correct answer The length of the base of a trlangle is 24 units and the slope is 1 2 What is the slope and the length of the midsegment

16 Two friends start running from the same spot The one runs in a direction N50 E at 4 mph and the other in a direction S70 W at 6 mph How far apart will they be after 1 5 hours if they do not change course and maintain their speed

Hamilton Circuits Paths Which of the BEST describes a Hamiltonian Path A path that uses each edge of a graph exactly once and ends at a vertex different from the starting vertex A path that uses each vertex of a graph exactly once and ends at a vertex different from the starting vertex A path that uses each edge of a graph exactly once and ends at the starting vertex A path that uses each vertex of a graph exactly once and ends at the starting vertex

Use the given information to find the exact value of the expression Draw two x y coordinate planes Each has its own angle u and v Then use sum and difference formula to find the answer No work no credit Do not use calculators No credit if using calculator to get the answer a Draw two angles according to the information given below on two different x y coordinate planes Each has its own angle u or v b Show the sum and difference formula you use c Then use a and b to find your exact answer Given sin u 12 with u in quadrant I and cos v 2 with y in quadrant

the expression verify cose Sin cose 1 tane

Use the sum and difference formula to find the exact value of the expression No work no credit Do not use calculators No credit if using calculator to get the answer a Show the formula you use b Then use the formula in a to find your exact answer sin 3

omework Part 1 of 5 O Points 0 of 1 Save Suppose that v and w are unit vectors If the angle between v and i is a and the angle between w and i is use the idea of the dot product vw to prove the following equation cos a B cos acos sin asin Let 0 represent the angle between v and w Write an equation which relates this angle to the vectors Since these are unit vectors the v and w factors can be omitted from this equation

Find the magnitude of the vector given below Also find the measure in degrees of the acute angle 0 formed by the vector and the x axis Do not round any intermediate computations and round your responses to 2 decimal places L 2 3 4 5 0 5 6 7 X a magnitude of the vector b 0 0 X

Zo cos isin Type answers in degrees Simplify your answer Z cos i sin Type answers in degrees Simplify your answer

CSC e Which half angle formula should be used to evaluate the expression cac The half angle formula 17x 12 OB CSC CSC to evaluate the expression without using a calculator 17 12 17x 12 17 12 1 Choose the correct formula below used to evaluate the expression cac and complete the expression in the numerator of the expression under them Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression OA CUCCOS 2 17x 12 1 2 should be used to evaluate the expression esc

y component Your answer is incorrect Calculate the x and y components of the vector given below Do not round any intermediate computations and round your responses to the nearest hundredth 10 46 13 10 x 9 03 y 9 35 X

Use the graph of the parabola to fill in the table 10 8 4 10 a Does the parabola open upward or downward upward O downward b Find the coordinates of the vertex OD vertex c Find the intercept s For both the x and y intercept s make sure to do the following If there is more than one separate them with commas If there are none select None x intercept s y intercept s d Find the equation of the axis of symmetry equation of axis of symmetry 8 0 0 X 08 None S

Determine the simplest form of an equation for the graph shown Choose b 0 and include no phase shifts Midpoints and quarter points are identified by dots An equation of the function shown is v T 18 4 2 100 18 I 10 56

Uz find v the conjugate harmonic functions of u a u x y x y c u x y sinh r cos y b u x y x 3ry d u x y 1 y Solution a Use Cauchy Riemanns equations page 83 b Use Cauchy Riemanns equations page 83 u x y x y du dx dy dv dx dy v x y x y d Use u x y x 3 xy du 3 r 3y dx 6xy dy dv 6xy dx 3x 3y dy v x y 3x y y c Use Cauchy Riemanns equations page 83 u r y sinh r cosy du cosh x cos y dx sinhr sin y dy du sinh r sin y dx cosh x cos y dy v x y cosh r sin y Cauchy Riemanns equations page 83 u x y x y du 2 y dx 1 y y 2 dy x y 2xy dx 2 y au x y 2 dy

The graph of f x 7 x Which of the following is stretched vertically by a factor of five is the equation of the new graph g x

To find the distance across a river a surveyor choose points A and B which are 235 yd apart on one side of the river She then chooses a reference point C on the opposite side of the river and finds that ZBAC 86 and ZABC 48 A 235 yd B NOTE The picture is NOT drawn to scale Approximate the distance from point A to point C distance I yd Find the distance across the river height yd 86 48 Enter your answer as a number your answer should be accurate to 2 decimal places

A triangular field has sides of lengths 32 49 67 yd Find the largest angle angle Find the area of the triangular field area yd

This problem asks you to redo Example 3 in this section with different nur Read this example carefully before attempting this problem Solve triangle ABC if ZA a 38 7 b 9 5 m and c 13 8 m Using the Law of Cosines a Your answer should accurate to 4 decimal places Thus a m Your answer should accurate to 2 decimal places Using the Law of Cosines again cos ZB cos B Your answer should accurate to 5 decimal places Thus B Your answer should accurate to 2 decimal places Finally using the sum of angles for triangles LC Y Your answer should accurate to 2 decimal places

An airplane has an airspeed of 600 km h bearing S30 E The wind velocity is 40 km h in the direction of S45 E Find the resultant vector representing the path of the plane relative to the ground 10 pts

20 points Compute the Laplace transform Your answer should be a function of the variables 0 2 1 2 1 t e cos at You may find the following formulas useful cos bt x cos bt sin bt x sin br cos bt sin bt sin bt cos bt If you don t get this in 2 tries you can get a hint

Given that cos 0 and sin 0 0 determine the valu 20 29 Type an integer or a simplified fraction cos 20 Type an integer or a simplified fractic sin 20

Listed below are the measured radiation absorption rates in W kg corresponding to 11 cell phones Use the given data to construct a boxplot and identify the 5 number summary 1 15 1 16 0 59 0 71 0 81 1 06 0 79 0 58 1 45 0 52 0 98 The 5 number summary is and all in W kg Use ascending order Type integers or decimals Do not round Which boxplot below represents the data OA OC 0 5 0 5 1 Absorption Rates W kg Absorption Rates W kg 1 5 1 5 OB O D 0 5 0 5 Absorption Rates W kg Absorption Rates kg 1 5 G 1 5 Q E ter tem tem

a Sketch the graph of the parametric curve x 2sht 2 y 3 cost 0sts D O 6

If sin 0 8 17 and 0 is in Quadrant III find tan 6 2

A cylinder has a radius of 10 units and a height of 25 units find the volume and surface area of each Round your answer to the nearest tenth first decimal place Volume Surface area

Itranscript A certain stock pays dividends of 0 46 How much would you receive if you owned 30 shares Round your answer to the nearest cent if necessary Answer 2 Points Keypad Keyboard Shortcu

Find all angles 0 x 360 that satisfy the equation below to the nearest 10th of a degree 8 sin x tan x 7 tan x

B C If BC 48 cm and sin ZCAB 0 96 what is the length of AC 25 cm a 4 cm 50 em b 24 cm e d

15 If ZA 38 ZT 54 and 8 cm then to the nearest hundredth of a centimetre measures K A 6 09 cm b 6 48 cm k 0 T 10 51 cm 10 71 cm

13 For the given AABC find c A B C a 80 0 10 sin 40 sin 80 b 10 sin 80 sin 40 10 40 C sin 40 10 sin 80 10 sin 60 sin 40

Sine Graphs Which equation below has an vertical shift of O y sin 2x 2 x y sin 4 x x y x sin 2x

Find the exact value of the expression using the provided information Find sin s t given that cos s 5 13 with s in quadrant II and sin t 15 17 with t in quadrant II

Question 5 8 33 points Basic Trigonometry A person noted that the angle of elevation to the top of a tree was 65 at a distance of 11 feet from the tree Using the diagram approximate the height of the tree 5 128 feet 26 005 feet 12 14 feet 23 590 feet Question 6 8 33 points Basic Trigonometry Quizzes Phoenix 2 e 11 feet