From the top of a tower, the angles of depression of two objects P and Q (situated on ...
View QuestionTF is a tower with F on the ground. The angle of elevation of T from A is x° such that tan x°= 2/5 and AF = 200 m. The angle of elevation of T from a nearer point B is y° with BF = 80 m. The value of y° is-
TF is a tower with F on the ground. The angle of elevation of T from A is ...
View QuestionThe top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of electric pole ?
a) 5 meters b) 8 meters c) 10 meters d) 12 meters Answer: c Explanation: Let AB be the ...
View QuestionA tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?
a) $$10\sqrt 3 \,{\text{m}}$$ b) $$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$ c) $$\frac{{\left( {\sqrt 2 - 1} \right)}}{{10}}\,{\text{m}}$$ d) $$\frac{{10}}{{\sqrt 2 ...
View QuestionAngles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?
a) $$\sqrt {mn\sqrt 3 } \,{\text{units}}$$ b) $$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$ c) $$\sqrt {3mn} \,{\text{units}}$$ d) $$\sqrt ...
View QuestionA poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30° respectively. What is the height of the poster?
a) $$\frac{{50}}{{\sqrt 3 }}\left( {\sqrt 3 - 1} \right)$$ b) $$10\sqrt 3 \,{\text{m}}$$ c) $$50\sqrt 3 \,{\text{m}}$$ d) None of ...
View QuestionFrom the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole
a) 52 m b) 50 m c) 66.67 m d) 33.33 m Answer: c Explanation:
View QuestionA flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?
a) h3 - 50h2 + (200)2h + (200)250 = 0 b) h3 - 50h2 - (200)2h + (200)250 = 0
View QuestionThere is a tower of 10m between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°. How far are the roads from each other?
a) 27.32 m b) 29.56 m c) $$20\sqrt 3 \,{\text{m}}$$ d) $$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$ Answer: a Explanation: ...
View QuestionA and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?
a) $$50\sqrt 3 \,{\text{m}}$$ b) $$\frac{{25}}{{\sqrt 3 }}\,{\text{m}}$$ c) $$25\sqrt 3 \,{\text{m}}$$ d) $$\frac{{25}}{{\sqrt 3 - 1}}\,{\text{m}}$$
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