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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
Transcribed Image Text: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
..
Transcribed Image Text: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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