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Applications of Trigonometry Ex-9.1 Interview Questions Answers

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Question 1 : A circus artist is climbing a 20 m long rope,which is tightly stretched and tied from the top of a vertical pole to theground. 

Answer 1 : Find the height of the pole, if the angle made by the rope with the ground level is 30°. 



Question 2 :

A tree breaks due tostorm and the broken part bends so that the top of the tree touches the groundmaking an angle 30° with it. The distance between the foot of the tree to thepoint where the top touches the ground is 8 m. Find the height of the tree.

Answer 2 :

Question 3 :

A contractor plans toinstall two slides for the children to play in a park. For the children belowthe age of 5 years, 

Answer 3 : she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?

Question 4 : The angle of elevation of the top of a towerfrom a point on the ground, which is 30 m away from the foot of the tower, is30°. Find the height of the tower.

Answer 4 :

Let AB be the height of the tower and C is thepoint elevation which is 30 m away from the foot of the tower.

To Find: AB (height of the tower)

In right ABC

tan 30° = AB/BC

1/√3 = AB/30

AB = 10√3

Thus, the height of the tower is 10√3 m.

Question 5 :

A kite is flying ata height of 60 m above the ground. The string attached to the kite istemporarily tied to a point on the ground. The inclination of the string withthe ground is 60°. Find the length of the string, assuming that there is noslack in the string.

Answer 5 :

Draw a figure, based on given instruction,

Let BC = Height of the kite from the ground,BC = 60 m

AC = Inclined length of the string from theground and

A is the point where string of the kite istied.

To Find: Length of the string from the groundi.e. the value of AC

From the above figure,

sin 60° = BC/AC

√3/2 = 60/AC

AC = 40√3 m

Thus, the length of the string from the groundis 40√3 m.

Question 6 :

A 1.5 m tall boy isstanding at some distance from a 30 m tall building. The angle of elevationfrom his eyes to the top of the building increases from 30° to 60° as he walkstowards the building. 

Answer 6 :

Find the distance he walked towards the building.

Question 7 :

From a point on theground, the angles of elevation of the bottom and the top of a

transmission towerfixed at the top of a 20 m high building are 45° and 60° respectively. Find theheight of the tower.

Answer 7 :

Question 8 :

A statue, 1.6 mtall, stands on the top of a pedestal. From a point on the ground, the angle ofelevation of the top of the statue is 60° and from the same point the angle ofelevation of the top of the pedestal is 45°. Find the height of the pedestal.

Answer 8 :

Question 9 :

The angle ofelevation of the top of a building from the foot of the tower is 30° and theangle of elevation of the top of the tower from the foot of the building is60°. If the tower is 50 m high, find the height of the building.

Answer 9 :