Two fire towers F and T are 30 km apart, F is due north of T. A fire at point G is observed from both towers. A watcher from F observes the bearing of the fire to be S 54° E and from T the bearing of the same fire is N 31° E. Find the distance of the fire from a and B.

Question

anonymous · Answer

Please, kindly help me to solve this. I need your help.

mrnood · Answer

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The diag shows the information given in the question.

Use knowledge of triangle angles to calculate the third angle in the triangle

Then use the sin rule to calculate the other 2 sides

anonymous · Answer

thank you for the answer.

mrnood · Answer

OK

I notice a discrepancy in the question

I assume that the values required are the distances from F and T 
(a and B are not defined in the question....)

anonymous · Answer

ok

anonymous · Answer

The pilot flying a plane can see the beginning and the end of a 1150-ft runway. The angle of depression of the beginning of the runway is 28.6°and the angle of depression of the end of the runway is 22.5°. How far is the plane from the beginning of the runway?

how about this problem can you solve it?