Review: Unit 1 - Trigonometry

PART 1: Short Answer Type Questions

1. Standing 13.30 m away from the base of a tower, Issa measures the angle of elevation to the top of the towerto be 610. On the top of the tower, Gerta measures the angle of depression to Stephen, who is standing behindIssa, to be 56°.How far apart are Issa and Stephen?

Gerta

Stephen L-..--"-''"''- -'--JIssa 13.3 m

2. The point (-8, 8) makes a right triangle with the origin, A, and the x-axis.Determine cos A for this triangle to 4 decimal places.

3. Suppose LP is obtuse and sin P = 0.1392. Determine the measure of LP to the nearest degree.

4. A man's will divides his lane! into two triangles with measurements as shown.Determine the length of CD.

c

43.6 yd. B

A.T 2: Problem Type Questions

5. A roof has the shape of a scalene triangle.On one side of the roof, the angle of inclination is 43° and the slope length is 20 feet.On the other side of the roof, the slope length is 25 feet.a) Determine the height of the roofb) Determine the other angle of inclination.c) Determine the angle at the peak of the roof

B

20 ft. 25 [1.h

A D c

6. Draw a right MBC with LC = 90° and:a) sin A = 0.25b) tanA=2Describe your method.

7. A pilot's instruments tell her that she is 2354 m from a landing strip.The angle of depression to the edge of the landing strip is 320.a) Determine the pilot's altitude.b) Determine the horizontal distance to the landing strip.c) There is a lake 600 m beyond the edge of the landing strip.

Determine the angle of depression to the edge of the lake.Justify your answers.

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Landing strip

2

Review: Unit 1 - Trigonometry

PART 1: Short Answer Type Questions

1. Standing 13.30 m away from the base of a tower, Issa measures the angle of elevation to the top of the towerto be 610. On the top of the tower, Gerta measures the angle of depression to Stephen, who is standing behindIssa, to be 56°. ~'O 0 q9'lO i/(J - 0/How far apart are Issa and Stephen? j.:- I~ LA :::::100 ~ U'~ ~ - MI

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2, The point (-8, 8) makes a right triangle with the origin, A, and the x-axis.Determine cos A for this triangle to 4 decimal places.

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3, Suppose LP is obtuse and sin P = 0,1392, Determine the measure of LP to the nearest degree,

4. A man's will divides his land into two triangles with measurements as shown.Determine the length of CD.

c

37.9 yd.

1

43.6 yd. B

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·'ART 2: Problem Type Questions

5. A roof has the shape of a scalene triangle.On one side of the roof, the angle of inclination is 43° and the slope length is 20 feet.On the other side of the roof, the slope length is 25 feeta) Determine the height of the roof hb) Determine the other angle of inclination. _ L-C--c) Determine the angle at the peak of the roof Le

20 ft. 25 ft.

A

-----------6. Draw a right LiABC with LC = 90° and:

a) sin A = 0.25b) tanA=2Describe your method.4----------------

7. A pilot's instruments tell her that she is 2354 m from a landing strip.The angle of depression to the edge of the landing strip is 32°.a) Determine the pilot's altitude. a..../b) Determine the horizontal distance to the landing strip. Uc) There is a lake 600 m beyond the edge of the landing strip.

Determine the angle of depression to the edge of the lake.Justify your answers.

hPilot ..,-------------,--,

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