Answer :

Answer:

100.4

Step-by-step explanation:

Thanks for taking the time to read In ΔBCD where D 90 B 75 and CD 97 feet find the length of BC to the nearest tenth of a foot. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

100.42 feet

Step-by-step 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