Question

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot

Answer 1

12.8

Explanation:

Answer 2

`CD = 4.4ft`

Explanation:

Given

`DE = 12`

`\angle C = 70^\circ`

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

`tan(70) = (DE)/(CD)`

Substitute 12 for DE

`tan(70) = (12)/(CD)`

Make CD the subject

`CD = (12)/(tan(70))`

`CD = (12)/(2.7475)`

`CD = 4.4ft` --- approximated