Overlapping Triangle Trig Problems

Find the measure of the indicated angle.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

Solve for x. 

• 10√3

• 15

• 5√3

• 15√2

Solve the right triangle.

• <A = 33.7^o, <C = 56.3^o, AC = 5.59

• <A = 56.3^o, <C = 33.7^o, AC = 5.59

• <A = 33.7^o, <C = 56.3^o, AC = 9.01

• <A = 56.3^o, <C = 33.7^o, AC = 9.01

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4