Respuesta :

Answer:

h = 7.7 cm

Step-by-step explanation:

Since the triangle is right use the sine ratio to find h

sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{15}[/tex]

[ multiply both sides by 15 ]

h = 15 × sin31° = 7.7 cm ( to 1 dec. place )

Answer:   h = 7.7 cm

Step-by-step explanation:

We know that θ = 31°, the hypotenuse = 15 cm, and we are looking for the opposite side = h.

[tex]sin\ \theta=\dfrac{opposite}{hypotenuse}\\\\\\sin\ 31^o=\dfrac{h}{15}\\\\\\\text{multiply both sides by 15 to get:}\\15\ sin\ 31^o=h\\\\.\qquad 7.72 = h\\\\\\\text{rounded to one decimal place we get:}\\h = 7.7[/tex]