​$$\text{If } \cot \theta = \frac{3}{4}, \text{ then find the value of } \sin 3\theta.$$​​

If tanθ + cotθ = 4, then sec²θ × cosec² θ is equal to:

From a point 30 m away from the base of a tree, the angle of elevation of the top of the tree is 60°. Find the height of the tree (take √3 = 1.73).

If tan A = $$\frac67$$​. find the value of $$\frac{7\sin A + 2\cos A}{7\sin A - 2\cos A}$$​

A boy standing 12 m away from a flagpole observes the top of the pole at an angle of elevation of 60^∘. Find the height of the flagpole.
Note: Consider the height of the boy as 0 m .
(Use √3≈2 )

If cosec A = $$\frac 54$$​, then the value of sin2A + 2cos2A is:

Expression $$\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}$$​ is equal to:

From a point 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 45°. Find the height of the tower.

A building casts a shadow of length 46 m, when the angle of elevation of the sun is $$60^0.$$​ Find the height of the building. (Use √3 = 1.7)

A helicopter is flying at a height of 575 m. A person on the ground sees it at an angle of elevation of 30°. What is the horizontal distance from the person to the point on the ground exactly below the helicopter?
(Take √3=1.73)

A person stands 36 metres away from the foot of a tower. The angle of elevation to the top of the tower is θ, and tanθ = 5/3. What is the height (in metres) of the tower?