Rig Triangle Trig NameApplications. Practice3. Alex is standing in the lookout tower of a ship, 500 feet away(horizontally) from a lighthouse. The angle of indine is 5°.Alex's eye Is 30 feet above sea level. How high above sea levelis the top of the lighthouse?PeriodDateangle of depressionangle of elevation4. Grant is standing on the second floor of the school, lookingover a balcony and waving to Mitchell, who is standing on thefirst floor. The horizontal distance between them is 20 feet. Ifthe angle of depression is 38°, how far above Mitchell is Grant(vertically)?Start each problem by DRAWING A PICTURE.It doesn't have to be beautiful, but it should include all relevant information.Once you have the picture drawn with the information labeled, look for right triangles anduse trigonometry (sine, cosine, and tangent) to find the measurement you're asked for.ROUND ALL ANSWERS TO TWO DECIMAL PLACES,1. An 8-foot ladder leaning against a wall makes an angle of 74°with the ground. How high up the wall does the ladder go?5. People beading south on Interstate 24 in Mont Eagle,Tennessee must drive down a pretty steep hill. The angle ofdepression is 4°. For every mile of road (diagonally), what isthe change in altitude in miles? In feet?2. An ant standing 50 meters from a building must incline hishead 52° to see the top of the bullding. How tall is thebuilding?6. Kelly is standing 1,200 feet away from the base of theAcrophobia ride at Six Flags, looking at the top. The angle ofelevation is 11°. Kelly is 5.5 feet tal. How tall is theAcrophobia ride?

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Answered: An 8-foot ladder leaning against a wall…

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An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall does the ladder go?

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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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

Rig Triangle Trig Name
Applications. Practice
3. Alex is standing in the lookout tower of a ship, 500 feet away
(horizontally) from a lighthouse. The angle of indine is 5°.
Alex's eye Is 30 feet above sea level. How high above sea level
is the top of the lighthouse?
Period
Date
angle of depression
angle of elevation
4. Grant is standing on the second floor of the school, looking
over a balcony and waving to Mitchell, who is standing on the
first floor. The horizontal distance between them is 20 feet. If
the angle of depression is 38°, how far above Mitchell is Grant
(vertically)?
Start each problem by DRAWING A PICTURE.
It doesn't have to be beautiful, but it should include all relevant information.
Once you have the picture drawn with the information labeled, look for right triangles and
use trigonometry (sine, cosine, and tangent) to find the measurement you're asked for.
ROUND ALL ANSWERS TO TWO DECIMAL PLACES,
1. An 8-foot ladder leaning against a wall makes an angle of 74°
with the ground. How high up the wall does the ladder go?
5. People beading south on Interstate 24 in Mont Eagle,
Tennessee must drive down a pretty steep hill. The angle of
depression is 4°. For every mile of road (diagonally), what is
the change in altitude in miles? In feet?
2. An ant standing 50 meters from a building must incline his
head 52° to see the top of the bullding. How tall is the
building?
6. Kelly is standing 1,200 feet away from the base of the
Acrophobia ride at Six Flags, looking at the top. The angle of
elevation is 11°. Kelly is 5.5 feet tal. How tall is the
Acrophobia ride?

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