Answer:
MP ≈ 2.98 cm
Step-by-step explanation:
Use sine:
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
We have:
[tex]opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342[/tex]
Substitute:
[tex]\dfrac{MP}{8.7}=0.342[/tex]
[tex]\dfrac{MP}{8.7}=\dfrac{342}{1,000}[/tex] cross multiply
[tex]1,000MP=2975.4[/tex] divide both sides by 1,000
[tex]MP=2.9754\to MP\approx2.98[/tex]
