An 85-foot rope from the top of a tree houseto the ground forms a 45° angle of elevationfrom the ground. How high is the top of the treehouse? Round your answer to the nearest tenthof a foot.feet14 You are planting a garden in the shape of anequilateral triangle as shown in the diagram. Youwant to find the area of the garden to determinehow much topsoil you will need.8 ft60°8 ft30°8 ft13Substitute the values of b and h in the formulaA = .b. h for the area of the garden.2A =2: 4:: 8:: V4: V8: 2/12: 4/3:: 4/8..

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Answered: An 85-foot rope from the top of a tree…

An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter62: Volumes Of Prisms And Cylinders

Section: Chapter Questions

Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

An 85-foot rope from the top of a tree house
to the ground forms a 45° angle of elevation
from the ground. How high is the top of the tree
house? Round your answer to the nearest tenth
of a foot.
feet
14

You are planting a garden in the shape of an
equilateral triangle as shown in the diagram. You
want to find the area of the garden to determine
how much topsoil you will need.
8 ft
60°
8 ft
30°
8 ft
13
Substitute the values of b and h in the formula
A = .b. h for the area of the garden.
2
A =
2
: 4
:: 8
:: V4
: V8
: 2/12
: 4/3
:: 4/8
..

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