Answer:
18.8 feet
Step-by-step explanation:
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{5.4}
tanM=
adjacent
opposite
=
5.4
x
\tan 74=\frac{x}{5.4}
tan74=
5.4
x
5.4\tan 74=x
5.4tan74=x
Cross multiply.
x=18.832\approx \mathbf{18.8}\text{ feet}
x=18.832≈18.8 feet
Type into calculator and roundto the nearest tenth of a foot.
M
N
O
5.4
18.8
(adjacent to ∠M)
(opp. of ∠M)
(hypotenuse)
74°