Right Triangle Trigonometry Problem Set

You and your classmates have recently finished a study of the primary trigonometric functions: sine, cosine, and tangent. The acronym SOHCAHTOA is now all too familiar. Your teacher announces that for your final performance, you will be measuring the world. "How is that possible?" you wonder. By trigonometry, of course. You are assigned two famous landmarks somewhere in the world, along with the following problems:

1. Location: Bangladesh, India
   Landmark: Mt. Everest
   
   You are standing 5 miles away from the peak. You look up at a 47-degree angle to the peak. How tall is the mountain? Hint: 5280 feet = 1 mile. Round your answer to the nearest foot.


2. Location: Washington, D.C.
   Landmark: The Washington Monument
   
   As you stroll down the National Lawn, you are taken aback by the sheer size of the Washington Monument. At a distance of 135 feet away, you stop to take a photo. You look up to the top of the monument at an angle of 76 degrees. How tall is the monument? Round your answer to the nearest foot.


3. Do some research to find the exact heights of these landmarks. How close to the actual heights of each landmark are your answers in problems 1 and 2?

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