A kite is flying at the height of 138 m above the ground. It is attached to a string inclined at 45° to the horizontal. What is the approximate length (in m) of the string?

This question was previously asked in
SSC CHSL 2020 Official Paper 10 (Held On: 16 April 2021 Shift 1)
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  1. 193
  2. 194
  3. 190
  4. 195

Answer (Detailed Solution Below)

Option 4 : 195
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Height at which kite flying = 138m

Calculation:

Triangle is formed with the height at which the kite flies as the height of the triangle, the Length of string as one side of the triangle, and the horizontal as the base of the triangle.

The triangle is 45 - 45 - 90 triangle.

⇒ sin 45 = (height at which kite fly)/(Length of string)

⇒ 1/√2 = 138m/length of string

⇒ length of sting = 195.16 ≈ 195m

∴ The approximate length of the string is 195m.

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