The distance from the tower to the first point, (58 deg), is x
The distance from the tower to the second point, (32 deg), is 1000+x
Let the height of the tower be y.
Then we have:
and
Solve for x and y.
In order to measure the height of a tower, the angle of elevation to the top of the tower was measured from two points on level ground. The points are 1000meters apart and in line with the base of the tower. The measurements were 32 degrees and 58 degrees find the height of the tower correct to the nearest metre.
The distance from the tower to the first point, (58 deg), is x
The distance from the tower to the second point, (32 deg), is 1000+x
Let the height of the tower be y.
Then we have:
and
Solve for x and y.