A man 6 feet tall is standing 9 feet from a 18 feet tall light pole. His shadow cast 15 degree. What is the angle formed from this equation?
18/(9+s)=6/s
Draw the figure, that reflects similar trigngles. S is the length of his shadow.
Now your question: what is the angle formed? 15 degrees, Duh.
To find the angle formed in this scenario, we can use trigonometry. Specifically, we can use the tangent function.
Let's denote the height of the man as h_m, the height of the light pole as h_p, and the length of the shadow as s.
From the given information, we have:
h_m = 6 feet
h_p = 18 feet
s = 9 feet
We want to find the angle formed, which we'll denote as θ.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the man, and the adjacent side is the length of the shadow.
Using the tangent function, we can write:
tan(θ) = h_m / s
Substituting the given values, we get:
tan(θ) = 6 / 9
To find the angle θ, we need to take the inverse tangent (arctan) of both sides of the equation:
θ = arctan(6 / 9)
Using a calculator or a trigonometric table, we can find the arctan of the ratio to find the angle.
So, the angle formed in this equation is θ = arctan(6 / 9).