To find the angle of elevation, we can use basic trigonometry. The angle of elevation is the angle between the line of sight to the top of the hill and the horizontal road.
Let x be the angle of elevation. Then, we can set up the following trigonometric equation:
tan(x) = 250/2000
tan(x) = 1/8
x = arctan(1/8)
Using a calculator, we find that x is approximately 7.2 degrees.
Therefore, the angle of elevation from the road to the hill is 7.2 degrees.
In order to reach the top of a hill, which is 250 feet high, one must travel 2000 feet straight up a road with leads to the top. Find the angle of elevation from the road to the hill.
In order to reach the top of a hill, which is 250 feet high, one must travel 2000 feet straight up a road with leads to the top. Find the angle of elevation from the road to the hill.
82.8 degrees
37.1 degrees
5.2 degrees
7.2 degrees
1 answer