Find the length of MP. round to the nearest hundredth.

asked Apr 8, 2020 166k views

5 votes

by Alfo

4.5k points

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3 votes

Answer:

Explanation:

Use sine:

sine=(opposite)/(hypotenuse)

We have:

$opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342$

Substitute:

(MP)/(8.7)=0.342

(MP)/(8.7)=(342)/(1,000) cross multiply

1,000MP=2975.4 divide both sides by 1,000

$MP=2.9754\to MP\approx2.98$

Carlos ABS answered Apr 11, 2020

5.3k points

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