Find the angle of elevation of the sun when a tower 100m high casts a shadow of 120 meter long?
=100/120
=0.8333
what is arc tan100/120
To find the angle of elevation of the sun, we can use the trigonometric tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the tower (100m) and the adjacent side is the length of the shadow (120m).
So, we can use the formula: tan(angle) = opposite/adjacent
Substituting the values, we get: tan(angle) = 100/120
To find the angle, we can take the inverse tangent of both sides of the equation. In mathematical notation, we use the arctangent function or tan^(-1).
So, angle = arctan(100/120)
Using a calculator or trigonometric table, we can find the arctangent of 100/120 to get the angle.
Alternatively, if you have access to a scientific calculator, you can directly calculate the angle using the "arctan" or "tan^(-1)" function. Just input 100/120 and press the "arctan" or "tan^(-1)" button to get the result.