Overlapping Triangle Trig Problems

Find the measure of the indicated angle.

Tags

CCSS.HSG.SRT.C.8

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 

Tags

CCSS.HSG.SRT.C.8

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

Tags

CCSS.HSG.SRT.C.8

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

• 6√2

• 3√3

• 12

• 6√3

Tags

CCSS.HSG.CO.C.10

Solve for x. 

• 10√3

• 15

• 5√3

• 15√2

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.SRT.C.8

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

• 4√2

• 4

• 8

• 4√3

Tags

CCSS.8.G.B.8

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Tags

CCSS.HSG.SRT.C.6

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Tags

CCSS.HSG.SRT.C.6

Solve for x. Round to the nearest tenth.

• 103.5

• 4.7

• 55.0

• 23.4

Tags

CCSS.HSG.SRT.C.8