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The length of a string between a kite and a point on the roof

Question

The length of a string between a kite and a point on the roof of a building $10 m$ high is $180 m$ . If the string makes an angle $θ$ with the level ground such that $tan θ = 4/3$ , how high is the kite from the ground?

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The length of a string between a kite and a point on the roof of a building

10 m

high is

180 m

. If the string makes an angle

θ

with the level ground such that

tan θ = 4/3

, how high is the kite from the ground?

8 mins ago

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8 mins ago

Text solutionVerified

O A = x

OB = 180 m

tan ϕ = 4/3

sin ϕ = 4/5

sin ϕ = O A / OE

sin ϕ = \frac{x}{180}

4/5 = x /180

x = 144

144 + 10 = 154 m

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Question Text	The length of a string between a kite and a point on the roof of a building $10 m$ high is $180 m$ . If the string makes an angle $θ$ with the level ground such that $tan θ = 4/3$ , how high is the kite from the ground?
Answer Type	Text solution:1
Upvotes	153