List of top Mathematics Questions on Trigonometry asked in MAT

At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is \(\frac{5}{12}\)On walking 192 m towards the tower, the tangent of the angle of elevation is \(\frac{3}{4}\) .The height of the tower is

The horizental distance between two towers is 60m. The angular elevation of the top of the taller tower as seen from the top of theshorter one is 30°. If the height of the taller tower is 150m, the height of the shorter one is

A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street.Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m high. Find the width of the street.

The horizontal distance between two trees of different heights is 60 m. The angle of depression of the top of the first tree when seen from the top of the second tree is \(45^\circ\). If the height of the second tree is 80 m, then find the height of the first tree.

An aeroplane flying at a height of 300 metres above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are \(60^\circ\) and \(45^\circ\), respectively. Then the height of the lower plane from the ground, in metres, is

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is \(60^\circ\) and when he retires 40 metres away from the tree, the angle of elevation becomes \(30^\circ\). The breadth of the river is

A man on the top of a vertical 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 \(30^\circ\) to \(45^\circ\), then how soon, after this, will the car reach the tower?

For an acute angle \(\theta \), sin \(\theta \) + cos \(\theta \) takes the greater value when e is

The angles of elevation of an artificial satellite measured from two earth stations are 30°and 40° respectively, if the distance between the earth stations is 4000 km, then the height of the satellite is

The distance between the tops of two trees 20 m and 28 m high is 17 m. The horizontal distance between the two trees is

\(\frac{{3}\pi}{5}\) radians is equal to

If Sin A : Cos A = 4 : 7 , then the value of \(\frac{(7sinA−3cosA)}{(7sinA+2cosA)}\) is 

A tree breaks due to storm and the broken part bends so that the top of the tree first touches the ground, making an angle of 30 with the horizontal. The distance from the foot of the tree to the point where the top touches the ground is 10 m. The height of the tree is