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TASK 6.5: Trigonometry 6

The document provides 7 word problems involving trigonometric concepts like angle of elevation, angle of depression, and using trigonometric ratios (sine, cosine, tangent) to calculate unknown lengths and distances. It asks the reader to solve each problem and give answers to 1 decimal place when appropriate. The problems involve situations like calculating the angle to a flagpole from a given distance, calculating horizontal distance from an angle of depression and elevation difference, finding the difference in heights of two buildings given their angles of elevation, and more.

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dreaming cloudy
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187 views1 page

TASK 6.5: Trigonometry 6

The document provides 7 word problems involving trigonometric concepts like angle of elevation, angle of depression, and using trigonometric ratios (sine, cosine, tangent) to calculate unknown lengths and distances. It asks the reader to solve each problem and give answers to 1 decimal place when appropriate. The problems involve situations like calculating the angle to a flagpole from a given distance, calculating horizontal distance from an angle of depression and elevation difference, finding the difference in heights of two buildings given their angles of elevation, and more.

Uploaded by

dreaming cloudy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Trigonometry 6

TASK 6.5

Give answers in this task to 1 decimal place when appropriate.

1. Bao Yu is standing 90 m from the foot of a flagpole. The flagpole is 11 m


tall. What is the angle of elevation of the top of the flagpole from Bao Yu?
2. Rosa is standing on the top of a hill looking down at her village. The angle of
depression of the top of her house is 7!. If she is 163 m higher than the top of her
house, what is the horizontal distance of Rosa from her house?

3. Geir is standing on top of a castle, 29 m tall. A friend is standing on the ground below,
70 m from the base of the castle. What is the angle of depression of the friend from
Geir?
Soh

4. A camera is placed on a table to sin = o/h


3m sin 5 = (28-1.2=26.8)/h
film a church. The angle of elevation
= 307m
from the camera to the top of a
flagpole on the church tower is 5!.
Using the measurements shown, 25 m
5°
what is the horizontal distance
from the flagpole to the camera? 1·2 m

5. The angle of elevation of a bird from an observation point on the ground is 6·7!. cos 6.7 = 230/h
= 231.6
If the horizontal distance of the bird from the observation point is 230 m,
how high is the bird above the observation point?
tan 8 = o/405

6. The angles of elevation of the front tan 11==56.9


o/512
= 99.5
of two tall buildings from a point A
is shown in the diagram opposite. 99.5-56.9 = 42.6m 3°
What is the difference in A 8°
the heights of the two buildings? 405 m 107 m

7. A telegraph pole stands on a line joining two points P and Q on the ground.
The telegraph pole is 9 m tall. The angle of depression of the top of the pole to point P
is 4!. The angle of depression of the top of the pole to point Q is 7!. What is the
horizontal distance between P and Q?

" OUP: this may be reproduced for class use solely for the purchaser’s institute

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