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03-09-2019
Mathematics

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

the diagram shows a trapezium PQRS Find the length of side PQ in cm class=

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Аноним Аноним

03-09-2019

Answer:

30 cm.

Step-by-step 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.

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