Some Applicatio...

The top of a $$15$$ metre high tower makes an angle of elevation of $$\displaystyle 60^{0}$$ with the bottom of an electric pole and angle of elevation of $$\displaystyle 30^{0}$$ with the top of the pole. What is the height of the electric pole?

From the top of the cliff $$150\ m$$ high the angles of depression of the top and bottom of a tower are observed to be $$\displaystyle 30^{\circ}$$ and $$\displaystyle 60^{\circ}$$ respectively. The height of the tower is

A tree is broken by the wind and now its upper part touches the ground at a point $$10$$ m from the foot of the tree and makes an angle of $$\displaystyle 60^{0}$$ with the ground. The entire length of the tree is:

A flagstaff $$10\ m$$ high stands at the center of a equilateral triangle which is horizontal at the top of the flagstaff. Each side subtends at an angle of $$\displaystyle 60^{o}$$. The length of each side of the triangle is:

If the angle of elevation of an object from a point $$100 \text{ m}$$ above a lake is found to be $$\displaystyle 30^{\circ}$$ and the angle of depression of its image in the lake is $$\displaystyle 45^{\circ}$$, then the height of the object above the lake is

The angle of elevation $$\displaystyle \theta $$ of a vertical tower from a point on the ground is such that its tangent is $$\displaystyle \frac{5}{12}$$. On walking $$192$$ meters towards the tower in the same straight line the tangent of angle of elevation $$\displaystyle \phi $$ is found to be $$\displaystyle \frac{3}{4}$$. Find the height of the tower

From the top of a lighthouse, the angles of depression of two stations on opposite sides and $$a$$ distance apart are $$\displaystyle \alpha $$ and $$\displaystyle \beta $$. The height of the lighthouse is:

A boat is rowed away from a cliff $$150$$ m high At the top of the the cliff the angle of depression of the boat change from $$\displaystyle 60^{0}$$ to $$\displaystyle 45^{0}$$ in $$2.5$$ minutes The speed of the boat (in m/sec) is

An aeroplane flying at a height of $$300\ metre$$ above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on ground are $$\displaystyle 60^{\circ}$$ and $$\displaystyle 45^{\circ}$$ respectively. The height of the lower plane above the above the ground in meters is

A flagstaff $$5$$ m high stands on a building $$25$$ m high. As observed from a point at a height of $$30$$ m, the flagstaff and the building subtend equal angles. The distance of the observer from the top of the flagstaff is