The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at 60∘ Find he angle between the sun rays and the ground at the time of longer shadow.

Let the length of flag staff = hLet the length of shadow at 60∘ = sLet the angle when the shadow is 3s = θThen, tan∠ of elevation = ShadowLengthNow, tan60=shh=3sNow, tanθ=3shtanθ=3ss3tanθ=31tanθ=tan30θ=30∘

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The shadow of a flagstaff is three times as long as the shadow

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The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at $6 0^{\circ}$ Find he angle between the sun rays and the ground at the time of longer shadow.

4 5^{\circ}

3 0^{\circ}

1 5^{\circ}

9 0^{\circ}

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The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at

6 0^{\circ}

Find he angle between the sun rays and the ground at the time of longer shadow.

9 mins ago

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Text solutionVerified

Let the length of flag staff =

h

Let the length of shadow at

6 0^{\circ}

s

Let the angle when the shadow is

3 s

θ

Then,

tan ∠

of elevation =

\frac{L e n g t h}{S ha d o w}

Now,

tan 60 = \frac{h}{s}

h = 3 s

Now,

tan θ = \frac{h}{3 s}

tan θ = \frac{s 3}{3 s}

tan θ = \frac{1}{3}

tan θ = tan 30

θ = 3 0^{\circ}

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Question Text	The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at $6 0^{\circ}$ Find he angle between the sun rays and the ground at the time of longer shadow.
Answer Type	Text solution:1
Upvotes	150

The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at 60∘ Find he angle between the sun rays and the ground at the time of longer shadow.

Text solutionVerified

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The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at $6 0^{\circ}$ Find he angle between the sun rays and the ground at the time of longer shadow.