GoemLesson85AnglesofElevationandDepression.notebook
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Section 8-5: Angles of Elevation and Depression
Learning Targets: -Identify the angle of elevation and of depression from the horizon of a diagram.-Find missing sides and angles of a right triangle (measure an object indirectly)
By: -Using trigonometry with the angles of elevation and depression.
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Review
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Review
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Review
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Review
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Review
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Review
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-angle of elevation
-angle of depression
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A pilot flying over level ground at an altitude of 2400 ft. sights the base of a building. The angle of depression is 6 degrees. Find the ground distance between the building and the point directly below the pilot.
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A man in a sailboat is directly opposite the base of a 750-m high cliff. The angle of elevation is 31 degrees. How far from land is the sailor?
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A building 200 ft. tall casts a 155-ft. shadow. Find the angle of elevation from the end of the shadow to the sun.
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At a point 125 ft. from the base of a tower, the angle of elevation to the top of the tower has a measure of 38 degrees. How high is the tower?
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A tree casts a 60-ft. shadow. Find the height of the tree if the angle of elevation of the sun measures 51 degrees.
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A building is 400 ft. high. A neighboring building is 250 ft. high. The angle of depression from the roof of the taller building to the roof of the smaller building is 15 degrees. How far apart are the buildings?
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Homework (D-1)
P.577-579 #'s 1, 2, 4, 5, 7, 15-17
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Homework (D-2)
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Attachments
ReviewforCh.8Test.pdf
Name_______________________ Academic Geometry
Date________________
Period__________
Find the geometric mean between each pair of numbers (Simplest Radical Form).
1. 5 and 15 2. 32 and 4 3. 50 and 10
________ ________ __________
Write a similarity statement identifying the three similar triangles in each figure.
4. 5.
____________________ _____________________
Find x, y, and z (Simplest Radical Form).
6. 7. 8.
x=_______ x=_____y=______ x=______y=______z=______
9. 10. 11.
x=_________ y=________ z=______ x=_______ y=______ z=______ x=_______y=______z=______
Use Pythagorean Theorem to find x. Express radical answers in simplest radical form.
12. 13. 14.
x=_____ x=_______ x=_______
Determine whether each set of numbers can be the measures of the sides of a triangle. If so, classify as acute, obtuse, or
right.
15. 18, 24, 30 16. , , 17. 21, 72, 76
Triangle?______ Triangle?______ Triangle?______
If so, classify:_______ If so, classify:_______ If so, classify:_______
Find the value of the variables in each special right triangle. Express answers in simplest radical form.
18. 19. 20.
x=____y=____ h=_____k=_____ f=_____g=____
21. 22. 23.
p=____q=____r=____s=____ x=____ x=____
Express each ratio as a fraction and as a decimal to the nearest hundredth.
24. sin L_____,_____ cos L_____,_____ tan L_____,_____
sin J_____,______ cos J_____,_____ tan J_____,_____
25. Use a special right triangle to express sin 30 as a fraction and as a decimal to the nearest hundredth (draw diagram).
Sin 30=________,________
Find x. Round to the nearest tenth.
26. 27. 28.
x=_________ x=_________ x=_________
Use inverse trig ratios and a calculator to find the measure of to the nearest tenth.
29. 30. 31.
________ ________ ________
32. A surveyor is 980 feet from the base of the worlds tallest fountain at Fountain Hills, Arizona. The angle of elevation to
the top of the column of water is 29.7. His angle measuring device is at the same level as the base of the fountain. Find
the height of the column of water to the nearest foot. 32) ____________
33. A cat sits at the window of an apartment building and sees a squirrel on the ground.
The angle of depression from the cat to the squirrel is 30. If the distance from the cat
to the squirrel is 45 feet, how high is the window?
33)_______________
34.
34)____________
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