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MATH128 Online Problem Set #1
You MUST draw a picture and write an equation for each problem. Round your answers to the nearest
tenth.You must complete the following problems on a separate sheet of paper.
This assignment will be submitted via Crowdmark. You will receive an email with the link to submit
your assignment.
1. The angle of elevation to the top of the Empire State Building in New York is 11 û from a point on the
ground 1 mile from the base of the building. Find the height of the Empire State Building in feet.
2. A plane is flying at an elevation of 35,000 feet within the sight of the Gateway Arch in St. Louis,
Missouri. The pilot would like to estimate her distance from the arch. She finds that the angle of
depression to a point on the ground below the arch is 22 û .
a) What is the distance between the plane and the arch?
b) What is the distance between a point on the ground directly below the plane and the arch? (along the
ground)
3. From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 û . How far is
the ship from the base of the lighthouse?
4. A 20 foot ladder leans against a building so that the angle between the ground and the ladder is 72 û . How
high does the ladder reach on the building?
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