Heights and Distance Quiz 4

The length of the shadow of a tower is equal to its heights, then the angle of elevation of the sun is

What is the angle of elevation of the top of a temple of height 10 m. At a point whose distance from the base of the tower is $10 \sqrt3$ m

From the top of a 10 m height tree, the angle of depression of a point on the ground is 30°. Then the distance of the point from the foot of the tree is

The angle of elevation of the sun is 45° then the length of the shadow of a 12 m high tree is …………

The length of the shadow is of 5 m height tree whose angle of elevation of the sun is 30° is

A man observed the top point of a flag staff with an angle of elevation of 45° standing at a distance away from the bottom of the staff . Find the distance between the man and the staff, if the height of the staff is 50 m.

A man observed the top point of a chimney with angle of elevation 60° standing at a distance 90 m. away from the bottom of the chimney. Then the height of the chimney is …………

A man observed the top of a hill with an angle of elevation of 50° standing at a distance away from the bottom of the hill. If another man stands on the hill, at what angle of depression did he see the first man ?

When the sun rays are falling on the earth at an inclination of $45^\circ$ the shadow of a man is 1.5 metres. Man’s height is ……………

Two towers of heights X and Y. A person standing at equal distances in between from X and Y, he observed the top of the tower at an angles of elevation 30° and 60°. Then the value of X : Y is …………