a) $$100\sqrt 3 \,m$$ b) $$\frac{{100}}{{\sqrt 3 }}\,m$$ c) $$50\sqrt 3 \,m$$ d) $$\frac{{200}}{{\sqrt 3 }}\,m$$ Answer: a Explanation: ...
View QuestionTwo persons are ‘a’ meters apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is
a) $$\frac{a}{4}$$ b) $$\frac{a}{{\sqrt 2 }}$$ c) $$a\sqrt 2 $$ d) $$\frac{a}{{2\sqrt 2 }}$$ Answer: d Explanation: Let ...
View QuestionIf the height of a vertical pole is √3 times the length of its shadow on the ground, then the angle of elevation of the sun at that time is
If the height of a vertical pole is $$\sqrt 3 $$ times the length of its shadow on ...
View QuestionThe elevation of the summit of a mountain from its foot is 45°. After ascending 2 km towards the mountain upon an incline of 30°,the elevation changes to 60°. What is the approximate height of the mountain?
a) 1.2 km b) 0.6 km c) 1.4 km d) 2.7 km Answer: d Explanation: ...
View QuestionFrom a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?
a) 40 m b) 138.4 m c) 46.24 m d) 160 m Answer: b Explanation: ...
View QuestionFrom the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings if tan a = 5/12 and tan b = 4/5
From the foot and the top of a building of height 230 m, a person observes the top ...
View QuestionTwo vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary. Find the heights of the poles.
a) 141 m and 282 m b) 70.5 m and 141 m c) 65 m and 130 m
View QuestionA man on the top of a vertical observation tower observers a car moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observation tower?
a) 8 min 17 second b) 10 min 57 second c) 14 min 34 second d) 12 min 23 second ...
View QuestionA man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°, how soon after this will the car reach the observation tower ?
a) 14 min. 35 sec. b) 15 min. 49 sec. c) 16 min. 23 sec. d) 18 min. 5 sec.
View QuestionThe angle of depression of a point situated at a distance of 70m from the base of a tower is 60°. The height of the tower is-
a) \[35\sqrt 3 {\text{ m}}\] b) \[70\sqrt 3 {\text{ m}}\] c) \[\frac{{70\sqrt 3 }}{3}{\text{ m}}\] d) \[{\text{70 m}}\] Answer: ...
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