From a point P on the ground which is 100m from the foot of a church tower, the angle if elevation of the top of the tower is 50 degrees calculate the height of the tower...
time to review your basic trig functions. The height h is found by
h/100 = tan50°
77.68
130
To calculate the height of the tower, we can use the trigonometric function tangent. The tangent of an angle is defined as the ratio of the length of the side opposite the angle (the height of the tower) to the length of the adjacent side (the distance from the base of the tower to the observation point on the ground).
Let's denote the height of the tower as 'h'. We are given that the distance from the base of the tower to the observation point (P) is 100 meters. We are also given that the angle of elevation from P to the top of the tower is 50 degrees.
Using the tangent function, we have:
tan(50°) = h / 100
To find the value of h, we need to solve for it. Rearranging the equation, we have:
h = 100 * tan(50°)
Now we can calculate the height of the tower using a calculator:
h = 100 * tan(50°) ≈ 100 * 1.1918 ≈ 119.18 meters
Therefore, the height of the tower is approximately 119.18 meters.