Some Applications of Trigonometry questions for CBSE X

A house’s lower window is 2 m above ground and the upper window is 4 m above it. A balloon has elevation angles 60° and 30° from these windows at the same instant. Find its height above ground.

A vertical tower is 150 feet tall. Find its shadow length when the sun’s elevation is 30°.

Two equal-height towers are80 m apart. From a ground point between them,the elevations of their tops are60° and30°. Find each tower’s height.

A girl’s eye level is 1.2 m above level ground. A balloon moves horizontally directly away from her, on the same side, at height 88.2 m. Its angle of elevation decreases from 60° to 30° in 30 seconds. Use √3=1.732. Find the distance travelled, to two decimals.

A 50 m tower casts a shorter shadow when the sun is at 45° than at 30°. Find the reduction in shadow length.

From a 75 m lighthouse, ships on the same side have depression angles 30° and 45°. Find their distance apart.

From the top of a multi-storey building, depression angles to the top and foot of an 8 m building are 30° and 45°. Bases are level. Find the taller height and horizontal separation.

From a point 120 m horizontally from a vertical building, its top is viewed at 30°. Find its height.