Question

What is the value of x?


Enter your answer as a decimal to the nearest tenth in the box.

ft


A right triangle with A as 31 degrees, AB as 22 feet and BC as x

Answer 1

Answer:

x = 13.2feet

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

$tan31^0 = \frac{opposite}{adjacent} = \frac{BC}{AB} = \frac{x}{22}$

Multiply both sides by 22

$x = 22 \tan 31^0\\\\x = 22 \times 0.601\\\\x = 13.22$

to the nearest tenth

x = 13.2feet