Question

What is the value of x?

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

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

Answer 1

x = 13.2feet

Explanation:

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

`tan31^0 = (opposite)/(adjacent) = (BC)/(AB) = (x)/(22)`

Multiply both sides by 22

`x = 22 \tan 31^0\\\\x = 22 * 0.601\\\\x = 13.22`

to the nearest tenth

x = 13.2feet