Mathematical Ab...

Angle of elevation of to the top of a tower from top and bottom of a building are 30^∘ and 45^∘ respectively. If a man standing at bottom of the building walk 7.32 meter towards tower angle of elevation become 60^∘ what is the height of the building?

If A and B are two events such that P(A ∪ B) = 5/6 , P(A ∩ B) = 1/3, P(B) = 1/2, then the events A and B are:

A person crosses a 455-meter long distance in 35 minutes. What is his speed in km/hr?

If the angles of elevation of a tower from two points distance a and b(a > b) from its foot and in the same straight line from it are 30^∘ and 60^∘, then the height of the tower is?

The equation of sphere is x² + y² + z² − x + z − 2 = 0, its radius is:

A cylinder is made by rolling a rectangle about its breadth. The breadth and length of the rectangle are 7 meters and 11 meters respectively. Find the volume of the created cylinder?

If (4 sin ⁡θ + 3 cos ⁡θ)² − (2 sin ⁡θ + cos⁡ θ)² = 20, then, what is the value of tan⁡ θ?

The angle of elevation of the top of a tower from a certain point is 30^∘. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15^∘. The height of the tower is: