SOLUTION: Manny wishes to determine the height of a flag pole. He takes a sighting of the top of the flag pole from point P with an angle of 53 degrees. He then moves futher away 20 meters f

Question 1075587: Manny wishes to determine the height of a flag pole. He takes a sighting of the top of the flag pole from point P with an angle of 53 degrees. He then moves futher away 20 meters from the flagpole and take an other sighting with an angle of 28 degrees. How high is the flagpole?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Draw the figure:
Vertical segment, length y.
Horizontal segment at right angle to bottom of the vertical segment; length x and extend this by 20 more units for length x+20.
Point P is at the end of length x.

Two equations in x and y.

.
.
Evaluate this:
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Manny wishes to determine the height of a flag pole. He takes a sighting of the top of the flag pole from point P with an angle of 53 degrees. He then moves futher away 20 meters from the flagpole and take an other sighting with an angle of 28 degrees. How high is the flagpole?

Let top of flag pole be A, base, D, and then name AD, x
Use law of sines to find length of AP
With length of AP, and the 53^o∠, use the sin ratio to find x/AD/Height of the flagpole.
This should be:
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