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Sine and cosine rule

Please can someone help answer this question. The answer 149.32.

Q5.
A parallelogram PQRS has area 50 cm2 Given PQ has length 14 cm ,QR has length 7 cm and the angle SPQ is obtuse.
(a) the size of angle SPQ, in degrees, to 2 decimal places.
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Original post by taqiyah
Please can someone help answer this question. The answer 149.32.

Q5.
A parallelogram PQRS has area 50 cm2 Given PQ has length 14 cm ,QR has length 7 cm and the angle SPQ is obtuse.
(a) the size of angle SPQ, in degrees, to 2 decimal places.


What are you thinking so far? Have you drawn a diagram?
Interestingly, you don't need sine or cosine rule to work this out.
If you want to use trig:
You can find the vertical height of the parallelogram as you are given the length and the area.
You are already given the hypotenuse of the triangle.
Sine or cosine is probably easier though.

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