SOH-CAH-TOA REVIEW

Which ratio is sin Z?

• 24/32

• 32/24

• 32/40

• 24/40

What equation would be used to solve the triangle for x?

• sin(47) = x/28

• cos(47) = x/28

• tan(47) = x/28

• cos(47) = 28/x

Solve for x.

• 19.83

• 8.76

• 14.57

• 28.29

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Solve for the missing angle

• 53

• 49

• 37

• 95

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

My dog, Stella, is playing in the park and sees a tree 100 m away.  Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°.  About how tall is the tree?

• 32 m
• 47 m
• 15 m
• 42 m

A person observes a gold coin on the ground from the top of a hill that is 15.6 m high. The distance between the person and the gold coin (as the crow flies) is 28 meters. Find the angle of depression from the person to the gold coin.

• 56.1 degrees

• 33.8 degrees

• 29.1 degrees

• 60.9 degrees

A helicopter is going to be dropping a care package to a city. It is 250 ft in the air. The pilot knows that at his constant speed the cargo will be dropped at an angle of depression of 20 degrees. How far away should the pilot be (horizontal distance) before he drops the cargo to his target?

• 7.28 ft
• 686.86 ft
• 573.64 ft
• 729.73 ft

A 14 foot ramp is pulled out from the back of a moving truck. If the ramp extends 12 feet out, what is the angle of elevation with the ground?

• 31 degrees

• 59 degrees

• 41 degrees

• 49 degrees

After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

• 50
• 0.053
• 36.9
• 95