Question

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

Answer 1

Answer:

MP ≈ 2.98 cm

Step-by-step explanation:

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have:

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

Substitute:

$\dfrac{MP}{8.7}=0.342$

$\dfrac{MP}{8.7}=\dfrac{342}{1,000}$              cross multiply

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

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