Home › UP Board Class 10 › mathematics › Some Applications of Trigonometry › A kite is flying at a height of 60 m above the g…
A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied to a peg on the ground and makes an angle of 60 degrees with the horizontal. The length of the string is
A40 (square root of 3) m
B30 m
C20 (square root of 3) m
D40 m
Answer & Solution
Correct answer: A. 40 (square root of 3) m
1. sin(60) = height/string = 60/string.
2. string = 60 / sin(60) = 60 / (square root of 3 / 2) = 120/(square root of 3).
3. Rationalize: string = 120 (square root of 3) / 3 = 40 (square root of 3) m.
_Source: NCERT Class 10 Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_
Related questions
From the top of a 7 m building, the angles of elevation of the top and angle of depressionThe shadow of a 30 m tall tower becomes 30/(square root of 3) m shorter when the sun risesFrom the top of a 10 m tower, the angle of depression of an object on the ground is 60 degA man standing on the deck of a ship 8 m above water level observes the angle of elevationThe angle of elevation of the top of a building from the bottom and top of a tower are 60 The angles of elevation of the top of a tower from two points A and B at distances of 4 m A tree breaks due to a storm and the broken part bends so that its top touches the ground An aeroplane at an altitude of 1500 m makes an angle of depression of 60 degrees with a fi