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Dominik [7]
2 years ago
11

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

Mathematics
2 answers:
Radda [10]2 years ago
6 0

Answer:

CD = 4.4ft

Step-by-step 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) = \frac{DE}{CD}

Substitute 12 for DE

tan(70) = \frac{12}{CD}

Make CD the subject

CD = \frac{12}{tan(70)}

CD = \frac{12}{2.7475}

CD = 4.4ft --- approximated

Yuliya22 [10]2 years ago
3 0

Answer:

12.8

Step-by-step explanation:

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