If two towers of height h1 and h2 subtend angles 45° and 30° respectively at the midpoint of the line joining their feet, then find the ratio of h1 and h2.

√3:1

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3:2

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1:2

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1:√3

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Solution

The correct option is A
√3:1

Option (C) is the correct option.

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Similar questions

Q. If two towers of height h₁ and h₂ subtend angles of 60° and 30° respectively at the midpoint of the line joining their feet, then show that h₁ : h₂ = 3 : 1.

Q. Assertion (A)
If two towers of height h₁ and h₂ subtend angles of 60° and 30° respectively at the midpoint of the line joining their feet, then h₁ : h₂ = 3 : 1.

Reason (R)
Figure
In the given figure, we have:

\frac{h_{1}}{x} = \tan 60 ° and \frac{h_{2}}{x} = \tan 30 °

(a) Both Assertion (A) and Reason (R) are true and (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. The tops of two towers of height x and y, standing on level ground, subtend angles of 30º and 60º respectively at the centre of the line joining their feet, then find x : y. [CBSE 2015]

If two towers of height $h_{1} a n d h_{2}$ subtend angles $45^{\circ} a n d 30^{\circ}$ respectively at the midpoint of the line joining their feet, then find the ratio of

$h_{1} : h_{2} .$

If two towers of height $h_{1}$ and $h_{2}$ subtend angles $45^{\circ}$ and $30^{\circ}$ respectively at the midpoint of the line joining their feet, then find the ratio of $h_{1} : h_{2}$ .

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If two towers of height h1 and h2 subtend angles 45° and 30° respectively at the midpoint of the line joining their feet, then find the ratio of ​ h1 and h2.

The correct option is A √3:1 Option (C) is the correct option.

If two towers of height h1 and h2 subtend angles 45° and 30° respectively at the midpoint of the line joining their feet, then find the ratio of h1 and h2.

The correct option is A
√3:1

Option (C) is the correct option.