Question

In ΔOPQ, q = 83 inches, p = 80 inches and ∠P=70°. Find all possible values of ∠Q, to the nearest degree

Answer 1

77.12°

Explanation:

Given that:

In triangle OPQ

∠P=70°

line q = 83 inches

line p = 80 inches

To find ∠Q; we use the since rule:

`(Sin \ Q)/(q) = (Sin \ P)/(p)`

`(Sin \ Q)/(83) = (Sin \ 70)/(80)`

`Sin \ Q= (Sin \ 70 * 83)/(80)`

`\text{Sin \ Q= 0.9749}`

`Q=Sin ^(-1)( 0.9749)`

`\mathbf{Q = 77.12^0}`