Question

In AFGH, f = 83 inches, g=11 inches and ZH=60°. Find the length of h, to the nearest inch

Answer 1

78 in

Step-by-step explanation:

We can calculate the length of h using the cosine law because we have two sides and the measure of the angle between them. So, the cosine law says that h is equal to:

`h^2=f^2+g^2-2fg\cos (H)`

Where h, f, and g are the sides of the triangle and H is the angle between f and g. Then, replacing f by 83 in, g by 11 in, and H by 60°, we get:

`\begin{gathered} h^2=83^2+11^2-2(83)(11)\cos 60 \\ h^2=6889+121-913 \\ h^2=6097 \\ h=\sqrt[]{6097} \\ h=78.08 \end{gathered}`

Therefore, the answer is 78 in.