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

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.

$tan(theta)= \frac{opposite}{adjacent}$

Plug in known values.
$tan(50)= \frac{x}{4}$

Multiply both sides by the denominator 4
$4*tan(50)= x$

C. is the answer.

Answer 2

Answer:

4/ tan50

Step-by-step explanation: