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Rachel C.

asked • 06/12/19


  1. You work for a roofing company and must order the correct number of tiles to complete the final side of the roof. It is in the shape of a trapezoid. The numbers of tiles in each row form a sequence. We know we will have 20 rows to complete the job. The first row has ten tiles. Each row has two more tiles than the previous row.

a. Is this sequence arithmetic or geometric? Explain.

b. How many tiles are needed for each of the first four rows?

c. Write the equation for the sequence in this situation.

d. How many tiles are in the fifteenth row?

You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.

The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle. 

a. What is the measure of the other acute angle?

b. What is the height of the tree?

c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree?

d. Can you take a clear picture of the top of the tree from where you are standing?

e. How many total tiles will be needed to complete the job?

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