Solution of triangles Questions and Answers

Use a graphing utility to graph the function include two full periods Graph the corresponding reciprocal function in the same viewing window y csc 4x 4 y y UU UU 2 2 2 2 y 2 2 2 2 2 y 4 2 X

What is the area of the shaded region in the given circle in terms of and in simplest form 60 12 m 1 point O 120 63 m O 96 36 3 m O 120 363 m O 96 6 3 m

13 Write in the necessary angle measures on the diagram then write an equation and solve for x 51 2x 14 799

Find the value of the trig function indicated 17 tan 7 S 18 cos 5

5 cos 130

sin 8

11 w y Z 1 0 115 1255

In ANAP mZN 87 AP 15 and mZA 25 Find the length of AN to the nearest tenth or explain why it is not possible

Find the length of GO Round to the nearest tenth G T 50 27 61

In 1 6 For each Isosceles Trapezoid find the measure of each interior an 1 2 77

ove AACE is an osceles triangle E EXAMPLES 1 AND 2 B C

Find the missing side Round to the nearest whole number 14 60 X

1 W 11 11 y Jo Wo 115 Z

In 13 16 Find the measure of each missing angle 13 110 y 100 87 14 85 92 98

In 10 12 The following polygons are regular polygons find the measure of each exterior angle 10 12 A regular 50 gon 11 A regular 18 gon

X 10 74 5 x 10 m 11 m 37 ene buy bus i 35 el vent en moitasnetelb 6 57 6 Biba 28

all answers must be exact or rounded to two decimal points Example 2 or 1 41 Level 1 Label the sides of the right triangle in relation Complete the equations using the terms to the angle with the words opposite opposite adjacent and hypotenuse adjacent and hypotenuse sin 0 cos 0 tan 0 3 or 0 43 or all work to earn the level Answers without supporting work will not

Question Watch Video Show n AEFG e 96 cm f 71 cm and ZG 52 Find the length of g to the nearest centin

60 y

8 in 1 8 Find w and x 13 m 48 W to 6 m

In 2 Answers should be in simplest radical form 2 Find the sine cosine and tangent for ZM 24 L 6 8 10 M Tan A A Tan

Given circle with diameter CD and radius EA AB is tangent to E at A If AD 6 and EC 7 solve for AC Round your answer to the nearest tenth if necessary If the answer cannot be determined click Cannot be determined E B A E

8 24 cm 13 cm 9 10 m

6 64 m 31 m X 7 7 yd x 25

Complete using hypotenuse opposite and adjacent Sin A Cos A Tan A A Sin A Cos

Teacher 1 Use trigonometric ratios to find the value of each variable Round decimals to the nearest tenth SHOW WORK c a 10 26 A 10 Tan 35 X 10 7 12 2 y X 7 0 Y Cos 35 10 Y YC05 35 10 5 N x 35 y Cos 350 8 b 200 Find the value of angle x Round to the nearest degree SHOW WORK a b 3 0 5 8

Compute the Probability of Getting Exactly 5 Heads A coin is flipped 10 times and the result is recorded Compute the probability of getting exactly 5 heads Complete the following to find the probability of getting exactly 5 heads Question 12 What is the probability of getting exactly 5 heads P A N A N S A B C D 0 492 0 082 0 246 0 194

HW ework Complete problems 1 7 below for independent practice When you are finished check the solutions in the back of the textbook Find the number of combinations 1 In a standard deck of cards there three royal cards Jack Queen and King How many different combinations of these three cards are there Keep in mind that there are four of each royal card 2 There are 10 applicants for four Computer Programming positions In how many ways can you possibly hire four people 3 There are 13 players on the Volleyball team Six players are actively on the court at any given time How many team arrangements are possible 4 There are 7 ice cream flavors to choose from How many different combinations of triple scoops are possible

45 6

D 6 5 cm 85 F 11 2 cm E 4 F E 19 4 mm 71 D 15 2 mm

21 49

B 10 7 D C 8 19 E 13 F I Lin knows that angle A is congruent to angle D She claims that triangles ABC and D must be similar Convince Lin that the triangles are not similar

Find the missing measure round to the nearest tenth 3 At a point 250 ft from a building the angle of elevation from the ground is 25 Find the height of the building x X 250 ft 25 d or sobie fion

10 Find the altitude of an equilateral triangle that has side lengths of 7 11 Find the altitude of an equilateral triangle that has side lengths of 2 6 12 Given the altitude of an equilateral triangle is 4 15 find the perimeter of the equilateral triangle

30 11 CERKETPLA C TABLEMENTE

Use trig functions to find the value of w and then x 10 11 30 D W 10 6 12 102 102

Find the value of a in the parallelogram a Type an integer or a decimal AB Type an integer or a decimal BC Type an integer or a decimal CD Type an integer or a decimal AD Type an integer or a decimal B 2a 22 6 A a 1 5 22 5 C a 1 4 D

10 5 in 559 11 369 16 m 12 24 r 44 ft

In 5 6 Find the sine cosine and tangent ratios for ZB in each triangle 5 A 6 B 12 15 9 C B 8 0 A 8 3 8 2 C

10 5 in 25 in 24 in 11 X

TRIG 34 A blue bird sitting in its nest at the top of a tree spots a large red apple in Donovan s hands at an angle of depression of 23 If the nest is 20 ft off the ground and the apple is 4 ft off the ground how far is Donovan from the tree Be sure to draw an appropriate diagram

4 X 16 60 y 5 U V 45 8 2 6 a 3 b 60

The lengths for the sides of a triangle are given Classify each triangle as acute right or obtuse 23 110 100 20 25 10 6 9 24 25 24 7

19 A 19 20 List the sides for each triangle in order from shortest to longest drawings are not to scale 20 L B 52 In 21 22 L 489 M 1130 34