Trigonometry Te...

Two straight roads intersect at an angle of 60^o. A bus on one road is 2 km away from the intersection and a car on the other road is 3 km away from the intersection. The direct distance between the two vehicles is

Each side of an equilateral triangle subtends an angle of 60⁰ at the top of a tower h m high located at the centre of the triangle. If `a` is the length of each side of the triangle, then

If sin + cos = p and sec + cosec= q, then q (p²-1) =

The angle of elevation of the top of an unfinished tower at a point 120 m above its base is 45°. How much must the tower's height be increased so that the angle of elevation becomes 60°?

The angles of elevation of the top of the tower observed from each of the three points A, B and C on the ground forms a triangle at the same angle . If R is the circum-radius of the triangle ABC, then the height of the tower is:

If tan = 2 sin sin cosec ( + g), then cot , cot , and cot are in

If a flagstaff subtends the same angle at the points A, B, C and D on the horizontal plane through its foot, then A, B, C and D form a

If x = r sincosy = r sinsinand z = r cos , then x²+Y² =

The angle of elevation of top of a vertical tower from a point P on the ground is 60⁰. At a point Q, 40 m vertically above P, the angle of elevation is 45⁰. Find the height of tower.

An observer on the top of a tree finds the angle of depression of a car moving at a constant speed towards the tree to be 30⁰. After 3 min, this angle becomes 60⁰. After how much more time will the car reach the tree?

The value of cos20° cos 40° cos 60° cos 80° is equal to

If sin= , then cos =

If tan + sin = m and tan - sin = n, then m² - n² =

The angle of elevation of a cloud from a point 60 m above a lake is 30^o and from the same point, the angle of depression of its image in the lake is 60^o. The height of the cloud is

Two vertical poles of equal heights are 120 m apart. A and B are two points on the line joining their bottoms. Angle of elevation of the top of one pole from A is 45⁰ and that of the other pole from B is also 45⁰. If AB = 30 m, then the height of each pole is:

The value of sin 10° sin 30° sin 50° sin 70° is equal to

If tan= , then sec =

If 3sin + 5cos= 5, then 5sin- 3cos=

An aeroplane at an altitude of 300 m observes the angles of depression of opposite points on the two banks of a river to be 45⁰ and 60⁰. The width of the river is

A tree 6 m tall, casts a 4 m long shadow. At the same time, a flag pole casts a shadow 50 m long. How long is the flag pole?