Question

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

Answer 1

MP ≈ 2.98 cm

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`