In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and CD = 97 feet. Find the length of BC to the nearest tenth of a foot.

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

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

50

step-by-step explanation: