A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.
If sin (A + B) = √3 / 2 and tan (A – B) = 1. What are the values of A and B?
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If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:
If tanØ + sinØ = m, tanØ  sinØ = n, find the value of m^{2}  n^{2}.
If cos A + cos^{2} A = 1 and a sin^{12} A + b sin^{10} A + c sin^{8} A + d sin^{6} A  1 = 0. Find the value of a+b / c+d
3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?
A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h^{2} not take, given that p and b are positive integers?
If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:
Two poles of equal height are standing opposite to each other on either side of a road which is 100 m wide. Find a point between them on road, angles of elevation of their tops are 30∘ and 60∘. The height of each pole in meter, is:
Anil looked up at the top of a lighthouse from his boat and found the angle of elevation to be 30 degrees. After sailing in a straight line 50 m towards the lighthouse, he found that the angle of elevation changed to 45 degrees. Find the height of the lighthouse.
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183 videos150 docs113 tests
