building height

Question

The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building.

Answer 1

height of the building

= 2tan5 = about 0.175 miles

= about 923.88 feet high

= about 923' 10.6"

Answer 2

Hi Morgan,

I’ve created a short YouTube video specifically for this problem and problems like these!

The first problem that I cover is exactly like the question you asked except the numbers are just a little different, but if you plug in your numbers and solve, you will get the correct answer for your problem.

If you have questions, please let me know.

Here’s the link to my video: https://youtu.be/tAYxZefbdAM?si=EyLFj-cZKGNQTwoS

Answer 3

Draw and label a diagram!

h represents the height of the building

tan 5° = h / 2

Can you solve for h and answer?