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
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.
To find the height of the tower, we can use trigonometry. Let's denote the height of the tower as 'h'.
We know that the angle of elevation, which is the angle between the horizontal line and the line of sight to the top of the tower, is equal to 36 degrees. We also know that the distance from the point on the ground to the base of the tower is 42 meters.
Using trigonometry, we can use the tangent function to relate the angle and the height of the tower:
tan(angle) = height / distance
tan(36) = h / 42
Now, we can solve for 'h' by rearranging the equation:
h = tan(36) * 42
Using a calculator, we can calculate the value of tangent(36) ≈ 0.7265.
Substituting this value into the equation, we have:
h = 0.7265 * 42
Multiplying these values, we find:
h ≈ 30.49 meters
Therefore, the height of the tower is approximately 30.49 meters.