Telangana Board Solutions for Chapter: Applications of Trigonometry, Exercise 3: Exercise

A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of $2\mathrm{m}$ and by making an angle of $30°$ with the ground. What should be the length of the slide$?$

Length of the shadow of a $15$ meter high pole is $15\sqrt{3}$ meters at $8$ o'clock in the morning. If the angle of elevation of the Sun rays with the ground at the time is $k°$ then find the value of $k$.

You want to erect a pole of height $10\mathrm{m}$ with the support of three ropes. Each rope has to make an angle $30°$ with the pole. If the length of the rope is $k m$, then find the value of $k$.

Write youe answer up to two decimal places.

Suppose you are shooting an arrow from the top of a building at an height of $6\mathrm{m}$ to a target on the ground at an angle of depression of $60°.$ If the distance between you and the object is $k m$, then find the value of $k.$

Write your answer up to three decimal places.

An electrician wants to repair an electric connection on a pole of height $9\mathrm{m}.$He needs to reach $1.8\mathrm{m}$ below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of $60°$with the ground? What will be the distance between foot of the ladder and foot of the pole in m$?$

A boat has to cross the river. It crosses the river by making an angle of $60°$ with the bank of river due to the stream of the river and travels a distance of $600$ m to reach the another side of the river. If the width of the river is $k m$, then find the value of $k$.

Write your answer up to three decimal places.

An observer of height $1.8 \mathrm{m}$ is $13.2 \mathrm{m}$ away from a palm tree. The angle of elevation of the top of the tree from his eyes is $45°.$ What is the height of the palm tree$?$

In the below figure, $\mathrm{AC}=6 \mathrm{cm}$, $\mathrm{AB}=5$ $\mathrm{cm}$ and $\angle \mathrm{BAC}=$ $30°.$ If the area of the triangle is $k {\mathrm{cm}}^2$, then find the value of $k$.