Question

A flagpole cast a shadow that is 15 feet long. The angle of elevation at this time is 40 degrees . How tall is the flag pole?

Answer 1

Flag pole is 12585 feet long.

Define Tangent.

The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.

Given Data

Angle of elevation = 40°

Adjacent = 15 feet

Let height of opposite be x

tan(A) = $\frac{opposite}{adjacent}$

tan(A) = $\frac{x}{15}$

x = 15tan(40)

x = 15(0.839)

x = 12,585

Flag pole is 12585 feet long.

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