Question

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

Answer 1

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

$tan (/theta) = \frac{Opp}{Adj}$

Plug in the values

$tan 68 = \frac{24}{x}$

Multiply both sides by x

$x*tan 68 = 24$

Divide both sides by tan 68

$x = \frac{24}{tan 68}$

x = 9.69662942

x = 9.7 (nearest tenth)