Applications of Right Triangle Trigonometry

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32

Find the value of x.

• 28

Find the value of x.

What if the value of x?

• 16

• 12

• 4

• 64

find the height(h)?

• 2000

• 500

What is the saying we use to remember the trig functions?

• SOH CAH TOA

• SAH COH TAO

• COH SAH TOA

• SOH COH TOH

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°

• 60°

• 45°

• 90°

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m

• 4√3 m

• 4⁄√3 m 

• 4 m

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 

What is the correct equation to solve for x?

• tan (45) = x/13

• cos (45) = x/13

• sin (45) = 13/x

• sin (45) = x/13