SOLUTION: A tower of 27.5 m tall makes an angle of 126 degrees with the inclined road on which it is located. Determine the angle subtended by the tower at a point 35 m down the road. Answer

Question 888899: A tower of 27.5 m tall makes an angle of 126 degrees with the inclined road on which it is located. Determine the angle subtended by the tower at a point 35 m down the road. Answer and solution please.
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
The tower is 27.5 meters tall.
The angle 126 degrees is an angle of depression.
We want to know the angle at a point which is 35 meters away from the base of the tower. The angle we seek is called the angle of elevation.

We can use a trig function to find the angle.
We know the height of the tower and the how far the needed angle is located.

Use tangent.
Let x be the angle we need.
tan(x) = 27.5/35
Since we are looking for an angle, use the inverse tangent function on your calculator.
x = arctan(27.5/35)
x is approximately 38.16 degrees.
RELATED QUESTIONS
A water tower 30 m tall is located at the top of a hill. From a distance of 120 m down... (answered by ikleyn)

On a hill, inclined at an angle of 14.2o with the horizontal stands a vertical tower. At... (answered by KMST)

On airplane navigation maps, towers more than 1,000 feet tall have a special marking. A... (answered by ankor@dixie-net.com)

A 600ft guy wire is attached to the top of a communications tower. If the wire makes an... (answered by lwsshak3)

A road is inclined at an angle of 45 degrees. After driving 300 feet along this road,... (answered by Cromlix)

A vertical aerial AB 9.6m high stands on ground which is inclined 12 degrees to the... (answered by mananth)

How do I solve this word problem? height of the tower A water tower is located 325ft... (answered by josgarithmetic,ikleyn)

A radio tower 138 m tall is supported by a guy wire which makes an angle of 71� with the... (answered by josgarithmetic)

A road is inclined at an angle of 5�. After driving 5000 feet along this road, find the... (answered by mananth)