Question

Find the value of x. Round your answer to the nearest tenth.

Answer 1

x = 9.7

Explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

`tan (/theta) = (Opp)/(Adj)`

Plug in the values

`tan 68 = (24)/(x)`

Multiply both sides by x

`x*tan 68 = 24`

Divide both sides by tan 68

`x = (24)/(tan 68)`

x = 9.69662942

x = 9.7 (nearest tenth)