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3/30/2021-Similar Triangle Applications

Last updated over 4 years ago

11 questions

1

Brian notices that a 25-meter flagpole casts a 30-meter shadow. If a nearby lightpost casts a 40-meter shadow, how tall is the lightpost?

1

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

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?

1

Find the distance across the lake shown if CD=120, DX=90, AX=180 and AB is parallel to CD.

1

Find the height of the dinosaur

1

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

Find the distance across Blue Lake.

1

A shadow of a building is 30 feet long at the same time Brooke is standing outside. Brooke is 5.6 feet tall and her shadow is 4 feet long. How tall is the building? (Draw the picture)

1

Solve for x

1

UV is parallel to RT. RU=8, US=14, TV= x-1, and VS=17.5. Find x.

1

Given triangle RST~ triangle RPQ, the scale factor of triangle RST to triangle RPQ is 2/3. The perimeter of triangle RPQ is 24. What is the perimeter of triangle RST?