In this page grade 10 trigonometry worksheets we are going to see questions of application problems in the topic trigonometry.
Application Problems in Trigonometry |
Solution |
(11) A tower is 100√3 meters high. Find the angle of elevation of its top from a point 100 meters away from its foot.
| |
(12) 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. | |
(13) The angle of elevation of the top of a tower at a distance of 130 m from its foot on a horizontal plane is found to be 63°. Find the height of the tower. | |
(14) 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. | |
(15) 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. | |
(16) 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? | |
(17) An aeroplane is observed to be approaching the airpoint. 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. | |
(18) A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree . Find the height of the balloon from the ground. Imagine that there is no slack in the cable. | |
(19) The shadow of a building is 81 m long when the angle of elevation of the sun is 30. Find the height of the building. | |
(20) The angle of elevation of a tower at a point is 45 degree. After going 40 m towards the foot of the tower the angle of elevation of the tower becomes 60 degree. Calculate the height of the tower. |