Telangana Board Solutions for Chapter: Applications of Trigonometry, Exercise 4: Exercise

A $1.5\mathrm{m}$ tall boy is looking at the top of a temple which is$30$ meter in height from a point at certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from $30°$ to $60°$as he walks towards the temple. If the distance he walked towards the temple is $k m$, then find the value of $k$.

Write your answer upto three decimal places.

A statue stands on the top of a $2\mathrm{m}$ tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is $60°$ and from the same point, the angle of elevation of the top of the pedestal is $45°.$ If the height of the statue is $k m$ then find the value of $k$.

Write your answer up to three decimal places.

From the top of a building, the angle of elevation of the top of a cell tower is $60°$and the angle of depression to its foot is $45°.$ If distance of the building from the tower is$7\mathrm{m},$ then If the height of the tower is $k m$, then find the value of $k$.

Write your answer up to three decimal places.

A wire of length $18 \mathrm{m}$ had been tied with electric pole at an angle of elevation $30°$ with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation $60°$with the ground. How much length of the wire was cut in meters?

Use $\sqrt{3}=1.732$ and write your answer upto three decimal places.

The angle of elevation of the top of a building from the foot of the tower is $30°$ and the angle of elevation of the top of the tower from the foot of the building is $60°.$ If the tower is $30 \mathrm{m}$ high and the height of the building is $k \mathrm{m}$, then find the value of $k$.

The angles of elevation of the top of a tower from two points at a distance of $4 \mathrm{m}$ and $9 \mathrm{m}$ from the base of the tower and in the same straight line with it are complementary. If the height of the tower is $h \mathrm{m}$, then find the value of $h$.

The angle of elevation of a jet plane from a point$A$ on the ground is $60°.$ After a flight of $15$ seconds, the angle of elevation changes to $30°.$ If the jet plane is flying at a constant height of $1500\sqrt{3}$ metres and the speed of the jet plane is $K \mathrm{m}/\mathrm{s}$, then find the value of $K$.$(\sqrt{3}=1.732)$

The angle of elevation of the top of a tower from the foot of the building is $30°$ and the angle of elevation of the top of the building from the foot of the tower is $60°.$ If the ratio of heights of tower and building is $1:k$, then find the value of $k$.