Given:
Height of the kite from the ground = 15 m
Angle of inclination of the string with the horizontal = 30°
Formula Used:
In a right-angled triangle,
sin θ = Opposite side / Hypotenuse
=> sin(30°) = height / length of string
Solution:
sin(30°) = 1/2
So,
sin(30°) = height / hypotenuse
=> 1/2 = 15 / length of string
So,
length of string = 15 / (1/2) = 30 m
Correct Final Answer:
30 m
English
10 Questions
10 Marks
10 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishA ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
The length of a vertical rod and its shadow are in the ratio of Find the angle of elevation of the sun.
The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.
A vertical stick 14 m long, casts a shadow 5 m long on the ground. At the same time, a tower casts a shadow of 44.5 m long on the ground. The height of the tower is _____.
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is:
From the top of a 60 m high building, the angles of depression of the top and bottom of a lamp post are 30° and 60°, respectively. Find the height of the lamp post.
Suggested Test Series
Suggested Test Series
