SOLUTION: A flagpole is 50 feet from a point on the ground. The angle of depression from the top of the flagpole to the same point on the ground is 40°. Calculate the height of the flagpole
Algebra.Com
Question 253298: A flagpole is 50 feet from a point on the ground. The angle of depression from the top of the flagpole to the same point on the ground is 40°. Calculate the height of the flagpole to the nearest foot.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
This situation can be represented by a right triangle whose height (h) represents that of the flag pole and whose base is the distance from the base of the pole to the point on the ground which is 50 feet from the base.
The angle of depression from the top of the pole to the the point on the ground is, of course, equal to the angle of elevation from the point on the ground to the top of the pole and this is given as 40 degrees.
Using the tangent function, you can write:
Solve for h.
feet. Rounded to the nearest foot, we have:
feet.
RELATED QUESTIONS
The angle of elevation of the top of a flagpole from a point on level is 30°. From... (answered by math_helper)
A flagpole is mounted on top of a public library building. From a point 50 feet in front... (answered by dabanfield)
the angle of depression from the top of a flagpole to a twig on the ground is is 40... (answered by Edwin McCravy,josgarithmetic)
A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16... (answered by mananth)
From a point on the ground 500 feet from the base of a building, it is observed that the... (answered by ankor@dixie-net.com)
Juan wants to test whether a 15-foot high flagpole is vertical (forms a right angle with... (answered by mananth)
To find the height of a flagpole, Ana places a mirror on the ground 12 meter from the... (answered by ikleyn)
The angle of depression from the top of a flagpole on top of a lighthouse to a boat on... (answered by ankor@dixie-net.com)
A flagpole casts a shadow 25 feet long.
If the angle of elevation from the tip of the (answered by fcabanski)