Question

A tower stands between points A and B, 10 m apart. The angles of elevation to the top of the tower from points A and B are 40 and 54 degrees, respectively. Find the height of the tower.

a) 7.660 m
b) 8.660 m
c) 9.660 m
d) 10.660 m

Answer 1

To find the height of the tower, you can use trigonometry and the angles of elevation. By setting up an equation with the angle of elevation and the distance between points A and B, you can solve for the height of the tower. In this example, the height of the tower is approximately 7.660 meters.

Step-by-step explanation:

To find the height of the tower, we can use trigonometry and the angles of elevation. Let's label the height of the tower as 'h'. We know that the distance between points A and B is 10 meters.

Using the angle of elevation from point A, we can set up the equation 'tan(40°) = h / 10'. Solving for 'h', we find that the height of the tower is approximately 7.660 meters.