Question

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

Answer 1

`\boxed{\sf sin\Theta=(P)/(H)}`

`\\ \sf\longmapsto sin\Theta=(16)/(26)`

`\\ \sf\longmapsto sin\Theta=(8)/(13)`

`\\ \sf\longmapsto sin\Theta=0.5`

• Convert to p/q form

`\\ \sf\longmapsto sin\Theta=(5)/(10)`

`\\ \sf\longmapsto sin\Theta=(1)/(2)`

`\\ \sf\longmapsto sin\Theta=sin30`

`\\ \sf\longmapsto \Theta\approx30°`