SOLUTION: The angle of elevation from a point on level ground to the top of a tower is 32.34. The angle of elevation of the top of the tower from a point 122 feet further back on the same h
Algebra.Com
Question 67271: The angle of elevation from a point on level ground to the top of a tower is 32.34. The angle of elevation of the top of the tower from a point 122 feet further back on the same horizontal line is 22.17. Find the height of the tower to the nearest tenth of a foot.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The angle of elevation from a point on level ground to the top of a tower is 32.34 degrees. The angle of elevation of the top of the tower from a point 122 feet further back on the same horizontal line is 22.17 degrees. Find the height of the tower to the nearest tenth of a foot.
----------
Draw the picture.
--------
tan32.34=h/x ; tan22.17=h/(x+122)
[tan32.34]x = [tan22.17)(x+122)
(tan32.34-tan22.17)x = 122[tan22.17)
0.6232329x=49.7128
x=79.77 ft.
-----------
h=x*tan32.34
h=79.77*tan32.34
h=50.50 ft. (height of the tower)
Cheers,
Stan H.
RELATED QUESTIONS
From a point on the ground 255 m from the base of a tower, the angle of elevation to the... (answered by scott8148)
The angle of elevation of the top of a flagpole from a point on level is 30°. From... (answered by math_helper)
the distance from you to the base of a tower on top of a hill is 2760 ft. the angle of... (answered by stanbon,Theo)
The angle of elevation to the top of a tower from point A on the ground is 18.6 degrees . (answered by josgarithmetic)
A backpacker notes that from a certain point on level ground, the angle of elevation to a (answered by Fombitz)
Angle of elevation of the top of the tower from a point 60mts from its foot is... (answered by stanbon)
A guy wire makes a 65° angle with the ground. Walking out 37 feet further from the tower, (answered by josgarithmetic,MathTherapy)
A cable to the top of a tower makes an angle of 31deg with the level ground. At a point... (answered by ankor@dixie-net.com)
A tower and a building stand on the same horizontal level. From the point (P) at the... (answered by KMST)