Question

Find the measure of the indicated angle to the nearest degree.​

Answer 1

Using Pythagorean triplete

`\\ \sf\longmapsto h^2=33^2+8^2`

`\\ \sf\longmapsto h^2=1089+64`

`\\ \sf\longmapsto h^2=1153`

`\\ \sf\longmapsto h=√(1153)`

`\\ \sf\longmapsto h=33.9`

`\\ \sf\longmapsto h\approx34`

Now

`\boxed{\sf sin\theta=(h)/(P)}`

`\\ \sf\longmapsto sin\theta=(34)/(8)`

`\\ \sf\longmapsto sin\theta=4.2`

`\\ \sf\longmapsto 2sin\theta=sin60`

`\\ \sf\longmapsto \theta=30°`