An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 39 degrees. The shadow is determined to be 70 feet long. How tall is the building?

Question

An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 39 degrees. The shadow is determined to be 70 feet long. How tall is the building?

Answer 1

To find the height of the building, we can use trigonometry.

Let's denote the height of the building as h.

Given that the angle of elevation of the sun is 39 degrees and the length of the shadow is 70 feet, we can set up a trigonometric equation using the tangent function:

tan(39°) = h/70

We can rearrange this equation to solve for h:

h = 70 * tan(39°)
h = 70 * 0.809784

h ≈ 56.688 feet

Therefore, the height of the building is approximately 56.688 feet.

An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 39 degrees. The shadow is determined to be 70 feet long. How tall is the​ building?

To find the height of the building, we can use trigonometry.

An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 39 degrees. The shadow is determined to be 70 feet long. How tall is the building?