HW Week 2 Name: Date -...
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HW Week 2 Name: Date: 1. Express in degree measure an angle of 2 5 radians. 2. Expressed in degrees, 8 3 is equivalent to A. 240 B. 300 C. 420 D. 480 3. Express 5 12 radians in degrees. 4. Express 160 in radian measure. 5. Express 225 in radian measure. 6. Express 54 in radian measure. 7. A lighthouse is built on the edge of a cli near the ocean, as shown in the accompanying diagram. From a boat located 200 feet from the base of the cli, the angle of elevation to the top of the cli is 18 and the angle of elevation to the top of the lighthouse is 28 . What is the height of the lighthouse, x, to the nearest tenth of a foot? 8. At Mogul’s Ski Resort, the beginner’s slope is inclined at an angle of 12.3 , while the advanced slope is inclined at an angle of 26.4 . If Rudy skis 1,000 meters down the advanced slope while Valerie skis the same distance on the beginner’s slope, how much longer was the horizontal distance that Valerie covered? A. 81.3 m B. 231.6 m C. 895.7 m D. 977.0 m 9. Find the value of x between 0 and 360 which satises the equation sin 2 x + 3 sin x + 2 = 0. page 1
Transcript of HW Week 2 Name: Date -...
HW Week 2
Name: Date:
1. Express in degree measure an angle of 2π5 radians.
2. Expressed in degrees, 8π3 is equivalent to
A. 240◦ B. 300◦ C. 420◦ D. 480◦
3. Express 5π12 radians in degrees.
4. Express 160◦ in radian measure.
5. Express 225◦ in radian measure.
6. Express 54◦ in radian measure.
7. A lighthouse is built on the edge of a cliff nearthe ocean, as shown in the accompanying diagram.From a boat located 200 feet from the base of thecliff, the angle of elevation to the top of the cliffis 18◦ and the angle of elevation to the top ofthe lighthouse is 28◦. What is the height of thelighthouse, x, to the nearest tenth of a foot?
8. At Mogul’s Ski Resort, the beginner’s slope isinclined at an angle of 12.3◦, while the advancedslope is inclined at an angle of 26.4◦. If Rudyskis 1,000 meters down the advanced slope whileValerie skis the same distance on the beginner’sslope, how much longer was the horizontaldistance that Valerie covered?
A. 81.3 m B. 231.6 m
C. 895.7 m D. 977.0 m
9. Find the value of x between 0◦ and 360◦ whichsatisfies the equation sin2 x + 3 sin x + 2 = 0.
page 1
10. Which is a value of x if sin 60◦ = cos(x + 10◦)?
A. 10◦ B. 20◦ C. 50◦ D. 60◦
11. A solution of the equation√
4 sin x + 7 = 3 is
A. π4 B. π
3 C. π6 D. π
2
12. Find the value of x in the domain 0◦ ≤ x◦ < 90◦
that satisfies the equation 2 sin x −√
2 = 0.
13. Use the diagram to answer the question.
Diana looks up at an angle of 57◦ and sees a hotair balloon 150 meters away. To the nearest meter,what is the value of x, the height of the hot airballoon above Diana’s head?
A. 82 meters B. 126 meters
C. 179 meters D. 231 meters
page 2 HW Week 2
14. A local airport needs to know the height of thecloud ceiling to determine if planes can take off orland. To find the height (x) of the cloud ceiling atnight, a spotlight is turned on and directed straightup to light the base of the clouds. Radar is usedto measure the angle of elevation to the base ofthe clouds.
Note: The figure is not drawn to scale.
What is the height (x) of the cloud ceiling? Roundthe answer to the nearest meter.
A. 183 meters B. 184 meters
C. 12,217 meters D. 12,308 meters
page 3 HW Week 2
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HW Week 2 2/12/2018
1.Answer: 72
2.Answer: D
3.Answer: 75
4.
Answer:8π9
5.Answer: 5π
4
6.Answer: 3π
10
7.Answer: 41.4
8.Answer: A
9.Answer: 270◦
10.Answer: B
11.Answer: C
12.Answer: 45
13.Answer: B
14.Answer:
