Find the Missing Angle and Sides in a Right Triangle Using Trigonometric Functions

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 37^o

• 28^o

• 53^o

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Choose the correct ratio.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine

• cosine

• tangent

• inverse sine

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. 

• 34 degrees

• 56 degrees

• 72 degrees

• 15 degrees

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

• 66 degrees

• 80 degrees

• 30 degrees

• 19 degrees

Solve for x. Round to the nearest tenth.

• 74.9

• 3.6

• 63.5

• 54.1

Solve for x. Round to the nearest tenth.

• 10.4

• 8.9

• 31.2

• 10.5

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.