Answer: 8.4 feet
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.
F
G
H
x
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
\text{What function uses the HYPOTENUSE and the ADJACENT?}
What function uses the HYPOTENUSE and the ADJACENT?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}
cosG=
hypotenuse
adjacent
=
9
x
\cos 21=\frac{x}{9}
cos21=
9
x
9\cos 21=x
9cos21=x
Cross multiply.
x=8.4022\approx \mathbf{8.4}\text{ feet}
x=8.4022≈8.4 feet
Type into calculator and roundto the nearest tenth of a foot.
F
G
H
8.4
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
