TS EAMCET · Maths · Heights and Distances
If the angles of depression of the top and bottom of a short building from the top of a tall building are \(30^{\circ}\) and \(60^{\circ}\) respectively, then the ratio of the heights of short and tall buildings is
- A \(2: 3\)
- B \(1: 2\)
- C \(1: 3\)
- D \(1: \mathbf{4}\)
Answer & Solution
Correct Answer
(A) \(2: 3\)
Step-by-step Solution
Detailed explanation
Let, \(A B\) is tall building \(C Q\) is short building \(\begin{aligned} & A B=H \\ & C Q=h \end{aligned}\) In \(\triangle A B C\) \(\begin{aligned} \tan 60^{\circ} & =\frac{H}{A C} \\ A C & =\frac{H}{\sqrt{3}} \end{aligned}\)…
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