The angle of elevation of the top of a tower from a point 42 m away from its base on level ground is 36 degree find the height of the tower

Answer 1

Let's call the height of the tower "h".

We can use the tangent function to find h:

tan(36°) = h / 42

First, we'll solve for h:

h = 42 * tan(36°)

Using a calculator, we find that tan(36°) ≈ 0.7265.

Now we can substitute that into our equation:

h = 42 * 0.7265

h ≈ 30.49

Therefore, the height of the tower is approximately 30.49 meters.