Question

This diagram shows a right-angled triangle

Answer 1

Answer: h = 7.7 cm

Step by step explanation:

We can use trigonometric identities to solve for h. Start by setting up your equation. Since we’re solving for the opposite side and the hypotenuse is given, we can use sin(x):

sin(31) = h/15

Now we must solve for h:

sin(31) = h/15

15sin(31) = h

h = 7.726

Answer 2

`\sin( 31^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{15}} \implies 15\sin(31^o)=h \implies 7.7\approx h`

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