If you are in a capsule at the top of the Orlando Eye, standing approximately 400 ft above ground and you are looking at the Amway Center which is approximately 15,840 fr away what is your angle of depression? how many miles is 15,840 feet?

Hello!

For this type of problem, it is very helpful to draw your problem out, but I'll attempt to explain it in words, feel free to draw it out if you are able to!

You'll be solving this problem using trigonometry, meaning that we'll be creating a triangle to represent this problem.

If you are standing approximately 400 feet above the ground, that means the vertical leg of the triangle will be the value 400.

We are also given that the Amway Center is approximately 15840 feet away, meaning that the leg on the bottom will be a value of 15840.

This triangle will also create a right angle at the intersection of the two legs mentioned above, meaning that right triangle trigonometry can be applied to this problem.

What trigonometry identity can be used to find the angle of depression when we are given the adjacent and opposite legs? (SOH-CAH-TOA)

We'll be using tangent.

Remember to set your calculator to the degrees mode and take the inverse tangent of the ratio.

To convert from 15840 feet to miles, use the conversion 5280 feet to miles.

Hope this helps!

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step-by-step explanation: