Right Triangle Trig

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 

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?

• 19.80

• 18.71

• 70.20

• 71.29

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

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

Choose the correct ratio.

• sin(37)=x/14

• cos(37)=x/14

• tan(37)=x/14

• sin(37)=14/x