Answer:
The measure of <S = 39°
Explanation:
It is given that, ΔRST, the measure of ∠T=90°, ST = 8.7 feet, and TR = 7.1 feet.
From this we get ΔRST is a right angled triangle.
To find the measure of <S
Side ST be the adjacent side of <S and side TR be the opposite side of <S
Therefore , Tan(S) = Opposite side/Adjacent side
= TR/ST
= 7.1/8.7
= 0.816
m<S = tan⁻¹(0.816) = 39.2 ≈ 39°
The measure of <S = 39°