Question

Find the measure of angle h

Answer 1

Answer:

62 degrees

Step-by-step explanation:

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

${gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h)$

${8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h)$

$64 = 289 + 225 - 510 \times \cos(h)$

$64 = 314 - 510 \times \cos(h)$

$- 250 = - 510 \times \cos(h)$

$\frac{250}{510} = \cos(h)$

$\frac{25}{53} = \cos(h)$

Take the arcos or cosine inverse

$\cos {}^{ - 1} = \frac{25}{53}$

Which is about 62 degrees.