y! does long..jump to pgW Megarhys..B Course S.Bb https://ac.x A eB wit.search edoOKUUOK CoLentsExercise: Computing Distances in an ApplicationPDF Transcript for Exercise: Computing Distances in an ApplicationAnswers26. Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements fromthe ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the baseof the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enoughroom for him to stand inside the tree house?58127. A police officer hiding between two bushes 50 ft from a straight highway sights two points A, and B. Theangle from the police car to A is 62°, and the angle to point B is 72°.50 ft62°72Ba. Find the distance between A and B. Round to the nearest foot.b. Suppose that a motorist takes 2.7 sec to pass from A to B. Using the rounded distance from part (a),find the motorist's speed in ft/sec. Round to 1 decimal place.c. Determine the motorist's speed in mph. Round to the nearest mph.Answers28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon atan angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15°with the ground.a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot.b. Find the length of the second rope. Round to the nearest tenth of a foot.c. If both ropes suddenly detach and the balloon rises straight up at a rate of 3 ft/sec, how long will ittake the balloon to reach a height of 50 ft from the ground? Round to the nearest tenth of a second.

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Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the base of the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a 42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enough room for him to stand inside the tree house?

Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the base of the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a 42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enough room for him to stand inside the tree house?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

y! does long..
jump to pg
W Megarhys..
B Course S.
Bb https://ac.
x A eB wit.
search edoOK
UUOK CoLents
Exercise: Computing Distances in an Application
PDF Transcript for Exercise: Computing Distances in an Application
Answers
26. Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements from
the ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the base
of the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a
42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enough
room for him to stand inside the tree house?
581
27. A police officer hiding between two bushes 50 ft from a straight highway sights two points A, and B. The
angle from the police car to A is 62°, and the angle to point B is 72°.
50 ft
62°
72
B
a. Find the distance between A and B. Round to the nearest foot.
b. Suppose that a motorist takes 2.7 sec to pass from A to B. Using the rounded distance from part (a),
find the motorist's speed in ft/sec. Round to 1 decimal place.
c. Determine the motorist's speed in mph. Round to the nearest mph.
Answers
28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at
an angle of 32° from the ground. The second rope attaches to the base of the balloon at an angle of 15°
with the ground.
a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot.
b. Find the length of the second rope. Round to the nearest tenth of a foot.
c. If both ropes suddenly detach and the balloon rises straight up at a rate of 3 ft/sec, how long will it
take the balloon to reach a height of 50 ft from the ground? Round to the nearest tenth of a second.

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