Question

In ARST, the measure of ZT=90°, the measure of ZR=54°, and TR = 27 feet. Find the

length of RS to the nearest tenth of a foot.
S
X
54°
T
R
27
Answer:
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attempt 1 out of 2

Answer 1

RS = 45.9 feet

Explanation:

Let the length of RS be represented by x. In the given triangle applying the required trigonometric function, we have;

Cos θ =
`(Adjacent)/(Hypotenuse)`

Cos 54 =
`(27)/(x)`

⇒ x =
`(27)/(Cos 54)`

=
`(27)/(0.5878)`

x = 45.9340

x = 45.9 feet.

The length of RS in the given triangle is 45.9 feet.