Answer:
10.3
Step-by-step explanation:
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\tan X = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{4.8}
tanX=
adjacent
opposite
=
4.8
x
\tan 65=\frac{x}{4.8}
tan65=
4.8
x
4.8\tan 65=x
4.8tan65=x
Cross multiply.
x=10.2936\approx \mathbf{10.3}\text{ feet}
x=10.2936≈10.3 feet
Type into calculator and round to the nearest tenth of a foot.
X
Y
Z
4.8
10.3
(adjacent to ∠X)
(opp. of ∠X)
(hypotenuse)
65°