Respuesta :

The value of the angle P and Q are equal which is equal to 36.86°.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From Δ it is obtained that;

[tex]\rm cos P = \frac{B}H} \\\\ \rm cos P = \frac{16}{20} \\\\ P=cos^{-1}\frac{16}{20} \\\\ P= 36.86 ^0[/tex]

[tex]\rm sin \ Q = \frac{12}{20} \\\\ Q= sin^{-1}(0.6) \\\\ Q= 36.86^0[/tex]

sin P= sin Q

Hence, the value of the angle P and Q are equal which is equal to 36.86°.

To learn more about trigonometry, refer to the link https://brainly.com/question/26719838

#SPJ1