Find the distance d of the fire from the line segment.
Answer to Problem 42E
The distance d of the fire from the line segment AB is 5.43km
Explanation of Solution
Given:
Let consider two towers A and B which are 30 km apart and A is situated due west of tower B. A fire is spotted from the towers at a point D. The bearing of point D from tower A is N76°E and bearing of point D from tower B is N56°W.
Let consider two towers A and B which are 30 km apart and A is situated due west of tower B. A fire is spotted from the towers at a point D. The bearing of point D from tower A is N76°E and bearing of point D from tower B is N56°W.
Suppose,
In the right ▵DBC,
Hence,
Similarly,
In right ▵ADC,
From equation (1) and (2),
Now putting the value of x in equation (2),
Therefore, the distance d of the fire from the line segment AB is 5.43km
Chapter 4 Solutions
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