The horizontal distance between two towers is 140 m.

The horizontal distance between two towers is 140 m. The angle of elevation of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 60 m, find the height of the first tower.

Solution:

Let the height of first tower TR = x
height of second tower PQ = 60 m
Distance between the two towers QR = 140 m

As observed from the top of a 80 m tall lighthouse, the angles of depression of two ships on the same side of the ,lighthouse in horizontal line with its base are 30° and 40° respectively. Find the distance between the two ships. Give your answer correct to the nearest metre.

Solution:

Let AB be the lighthouse and C and D be the two ships.

More Solutions:

• Solve the following trigonometric:
• Evaluate trigonometric:
• Solve trigonometric:
• Solve: (1 + tan A)/sin A + (1 + cot A)/cos A = 2(sec A + cosec A)
• Prove the identity:
• Solve: (sinθ + cosθ)(secθ + cosecθ) = 2 + secθ cosecθ.