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

Algebra ->  Trigonometry-basics -> 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      Log On


   

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) About Me  (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.