Question

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth

Answer 1

28.3

Explanation:

Use the Tangent

Tan(theta) = opposite over adjacent.

opposite (defined as the line that does not make up the angle) = 17

Theta = 31

adjacent (one of the lines making up the angle) = x

Tan(31) = 0.6009

Tan(31) = 17/x Multiply both sides by x

x*tan(31) = 17 Divide by tan 31

x = 17/tan31

x = 17 / 0.6009

x = 28.29

Rounded to the nearest 1/10 is 28.3