Solve 3 cos²(x) + 5 cos(x) - 2 = 0 for the interval 0≤x≤ 2π

LT 8 Three telephone wires connect two towers and the station How much wire is needed to connect Tower B to the station Tower A Station 130m 440 Tower B Round to the nearest tenth Just enter the number

A 6 foot tall man stands x feet away from an 18 foot tall street light as shown below Use similar triangles to express the length of the man s shadow in terms of x OX 3 0 2x 3x X N O x m

Find the value of x in the given right triangle 37 10 X x Enter your answer as a decimal rounded to the nearest tenth Enter

Nate heard stories about the massive Sierra redwoods in California and looked forward to seeing one of these trees for himself On his first actual encounter with one of the trees Nate wants to know just how tall the tree is He places a mirror on the ground and experiments several times until he determines the correct distance from the base of the tree as well as the correct angle of incidence that allows him to see the top of the tree 1 9 m 0 75 m 38 25 m Based on the information in the diagram how tall is the tree The diagram is not to scale The tree is

into and out of the valley They take the measurements shown Determine the height of the cliff to the nearest tenth of a kilometre 5 40 cliff 1 5 km 550 65

Katherine wants to determine the height x of a nearby tree She stands 53 feet from the base of the tree The measure of the angle of elevation from Katherine to the top of the tree is 41 Select all of the following that can be used to find the height of the tree Ox 53 sin 41 53 sin 49 Ox 53 cos 41 X 53 cos 49 Ox 53 tan 41 X X 53 tan 49

Find the exact value of the expression sec tan Select the correct choice and fill in any answer boxes in your choice below OA 88 Simplify your answer including any radicals Use integers or fractions for any numbers in the ex OB There is no solution sec tan 1

This image of a physics problem shows a block resting on a ramp PQP is the angle between the ramp and the horizontal and BW is oriented vertically Which quantity is equal to cos W OA O B OC O D sin P cos P 1 sin P W 1 cos P

A ship travels N36 E for 500 nautical miles In component form which vector represents this displace North 1 Picture not drawn to scale 500 NM O 500 tan 36 500 tan 54 O 500 cos 36 500 sin 36 O 500 cos 54 500 sin 54 O 500 sin 36 500 cos 36 O 500 sin 54 500 cos 54 East

Automatic Zoom 536544 viewContent 2714736 View A person who is 1 65m high stands 25 7m from the base of a building the top of a near building at an angle of elevation of 35 4 a Draw a diagram labelling all important information height of the building in meters to the nearest tenth