Answer:
100.42 feet
Explanation:
Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠D=90°, the measure of ∠B=75°, and CD = 97 feet
CD is the opposite side facing ∠B, BC is the hypotenuse side hence
Sin 75 = 97/BC
BC = 97/Sin 75°
= 100.42 feet