Malik is standing outside in the sun and his shadow is on the ground. Make a sketch of this situation including the sun, Malik, and his shadow
1 point
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Question 2
2.
At a certain time of day, a 12 meter flagpole casts an 8m shadow. Write the ratio that represents the height of the tree to the height of the flagpole.
1 point
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Question 3
3.
At a certain time of day, a 12 meter flagpole casts an 8m shadow. Write the ratio that represents the shadow of the tree to the shadow of the flagpole.
1 point
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Question 4
4.
At a certain time of day, a 12 meter flagpole casts an 8m shadow. Write a proportion that would allow you to find the height, h, of the tree that uses the length, s, of the tree’s shadow.
1 point
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Question 5
5.
In the diagram below, a large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, that the top of the flagpole and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, what is the scale factor of the shadow of the office building compared to the shadow of the flagpole? Write in simplest form.
1 point
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Question 6
6.
In the diagram below, a large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, that the top of the flagpole and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, write a proportion representing the elements of the office building compared to the flagpole?
1 point
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Question 7
7.
In the diagram below, a large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, that the top of the flagpole and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building? Round to the nearest tenth.
1 point
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Question 8
8.
Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5½ feet above the ground. Approximately how far out from the cliff is Catarina’s boat? (hint, set up your proportion and solve). Round to the nearest whole number.
1 point
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Question 9
9.
Dennis needs to fix a leaky roof on his house but does not own a ladder. He thinks that a 25-foot ladder will be long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a point P on the ground where he can visually align the roof of his car with the edge of the house roof. Help Dennis determine if a 25-foot ladder will be long enough for him to safely reach his roof.
1. Convert all units to inches.
2. Set up proportion.
3. Solve for the ladder needed. Convert units back to feet.
4. Determine if a 25 ft ladder will do the job.
Record your answer as (length of ladder needed, yes or no)
1 point
1
Question 10
10.
Brian is photographing the Washington Monument and wonders how tall the monument is. Brian places his 5 ft camera tripod approximately 100 yd. from the base of the monument. Lying on the ground, he visually aligns the top of his tripod with the top of the monument and marks his location on the ground approximately 2 ft 9 in from the center of his tripod. Use Brian's measurements to approximate the height of the Washington Monument.
1. Label.
2. Convert all units to the same (probably inches)
3. Set up proportions.
4. Solve for the height. Convert to an appropriate unit