Question

Find the measure of angle h

Answer 1

62 degrees

Explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

`{gk}^(2) = {gh}^(2) + {kh}^(2) - 2(gh)(kh) * \cos(h)`

`{8}^(2) = {17}^(2) + {15}^(2) - 2(17(15) * \cos(h)`

`64 = 289 + 225 - 510 * \cos(h)`

`64 = 314 - 510 * \cos(h)`

`- 250 = - 510 * \cos(h)`

`(250)/(510) = \cos(h)`

`(25)/(53) = \cos(h)`

Take the arcos or cosine inverse

`\cos {}^( - 1) = (25)/(53)`

Which is about 62 degrees.