Question

The diagram shows a trapezium PQRS. Find the length of side PQ, in cm​

Answer 1

30 cm.

Explanation:

Draw a line from R perpendicular to PQ to meet PQ at T.

RQT forms a right-angled triangle with RT = SP = 15.

So tan 36.87 = RT / TQ

tan 36.87 = 15 / TQ

TQ = 15 / tan 36.87

= 20 cm.

Now PT = SR = 10, so

PQ = 10 + 20

= 30 cm.