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2 years ago

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot

Mathematics

1 answer:

Luden [163]2 years ago

3 0

Answer:

12.6 ft

Step-by-step explanation:

Trig functions relate the sides and angles in a right triangle. Here, we're given an angle and an adjacent side, and we're asked to find the hypotenuse. The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

cos(50°) = DE/CD = (8.1 ft)/CD

Solving for CD, we find ...

CD = (8.1 ft)/cos(50°) ≈ 12.601 ft

The length of CD is about 12.6 feet.

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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In this question:

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