Height and Distance Questions Practice Question and Answer
8 Q: The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
650 0606d78f36a85553684e1c486
606d78f36a85553684e1c486- 116 mfalse
- 220√ 3 mtrue
- 320 mfalse
- 430 mfalse
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Answer : 2. "20√ 3 m"
Q: From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of x is:
549 0605319634999e13f2a6cb875
605319634999e13f2a6cb875- 154false
- 236false
- 348true
- 445false
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Answer : 3. "48"
Q: An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:
476 06051ca08d3e3d30b29d9ab7f
6051ca08d3e3d30b29d9ab7f- 126.8false
- 227.6true
- 326.2false
- 425.8false
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Answer : 2. "27.6"
Q: From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.
818 0600e93b77fb81d03bf731436
600e93b77fb81d03bf731436- 1h (Cot B +Cot A)true
- 2h (tanB +tanA)false
- 3h (tanA - tan B)false
- 4h(cot B-cotA)false
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Answer : 1. "h (Cot B +Cot A)"
Q: An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :
494 0600a8dffbaeda263c3c88b13
600a8dffbaeda263c3c88b13- 1$$ {9\sqrt{3}\over 10}{\ meter}$$false
- 2$$ {3\sqrt{3}\over 10}{\ meter}$$false
- 3$$ {3\sqrt{3}\over 5}{\ meter}$$false
- 4$$ {9\sqrt{3}\over 5}{\ meter}$$true
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"
Q: From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?
512 05fc0dc584f2f6c622beee75e
5fc0dc584f2f6c622beee75e- 1$$ {48\sqrt{3}}$$false
- 236false
- 3$$ {36\sqrt{3}}$false
- 448true
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Answer : 4. "48"
Q: A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be
629 05fbe71142e911753dd562895
5fbe71142e911753dd562895- 1142 mtrue
- 2140 mfalse
- 3139 mfalse
- 4138 mfalse
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Answer : 1. "142 m"
Q: The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.
903 05f8015244e4f797ddbd7d534
5f8015244e4f797ddbd7d534- 1866 Metertrue
- 2856 Meterfalse
- 3800 Meterfalse
- 4500 Meterfalse
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