Trigonometry & Height and Distances (original) (raw)

What is the maximum value of 3 Sinθ + 4 cosθ?

What is minimum value of Sinθ + cosθ ?

If tan (x+y) tan (x-y) = 1, then find tan (2x/3)?

Find the Value of tan30o + tan120o?

The least value of 2sin2θ + 3cos2θ

The angle of elevation of the sun, when the length of the shadow of a tree is 1/√3 times the height of the tree, is:

From a point A on a level ground, the angle of elevation of the top of a tower is 30 degrees. If the tower is 100 m high, the distance of point A from the foot of the tower is:

Amit is standing at a point P is watching the top of a tower, which makes an angle of elevation of 45° with Amit's eye. He walks some distance towards the tower to watch its top and the angle of elevation becomes 60°.

What is the distance between the base of the tower and the point P?

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?

x = a cos(t), y = b sin(t) is the parametric form of

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