Question

Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the height of the fort?

A) 4 sin 50°


B)



4
sin50°

Eliminate

C) 4 tan 50°


D)



4
tan50°

Answer 1

4/ tan50

Explanation:

Answer 2

C) 4 tan 50°. if the base angle is 50 it can be plugged it into the trigonometric ratio. If the width is 8, half of the width would be 4 which can create a right triangle whose side can be found using tangent.


`tan(theta)= (opposite)/(adjacent)`

Plug in known values.

`tan(50)= (x)/(4)`

Multiply both sides by the denominator 4

`4*tan(50)= x`

C. is the answer.