TRIGONOMETRY WORD PROBLEMS WORKSHEET

Question 1 :

The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal plane is found to be 60 degree. Find the height of the building.

Question 2 :

A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder is inclined at an angle of 60 degree. Find how far the ladder is from the foot of the wall.

Question 3 :

A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height of the kite,assuming that there is no slack in the string.

Question 4 :

From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.

Question 5 :

A man wants to determine the height of a light house. He measured the angle at A and found that tan A = 3/4. What is the height of the light house if A is 40 m from the base ?

Question 6 :

He A ladder is leaning against a vertical wall makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall.Find the length of ladder.

Question 7 :

A kite flying at a height of 65 m is attached to a string inclined at 31° to the horizontal. What is the length of string ?

Question 8 :

The length of a string between a kite and a point on the ground is 90 m. If the string is making an angle θ with the level ground  such that tan θ = 15/8, how high will the kite be ?

Question 9 :

An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 50 degree. Find the height above the ground.

Question 10 :

A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree angle . Find the  height of the balloon from the ground. (Imagine that there is no slack in the cable)

If you would like to have detailed answers for the above questions, please mail us : v4formath@gmail.com.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.