AP EAMCET · Maths · Heights and Distances
A tower, of \(x\) metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant \(y\) metres from the foot of the tower. Then, the length of the flagstaff (in metres), is
- A \(\frac{y\left(x^2-y^2\right)}{\left(x^2+y^2\right)}\)
- B \(\frac{x\left(y^2+x^2\right)}{\left(y^2-x^2\right)}\)
- C \(\frac{x\left(x^2+y^2\right)}{\left(x^2-y^2\right)}\)
- D \(\frac{x\left(x^2-y^2\right)}{\left(x^2+y^2\right)}\)
Answer & Solution
Correct Answer
(B) \(\frac{x\left(y^2+x^2\right)}{\left(y^2-x^2\right)}\)
Step-by-step Solution
Detailed explanation
Let \(B C\) be the height of tower and \(C D\) be height of the flagstaff, Let \(C D=h\) Since, the tower and flagstaff makes equal angle, i.e. \(\theta\) In \(\triangle B A C\), In \(\triangle D A B\),…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If the amplitude of \(z-2-3 i\) is \(\frac{\pi}{4}\), then the locus of \(z=x+i y\) is :AP EAMCET 2003 Medium
- If \(\alpha, \beta\) and \(\gamma\) are the root of the equation \(x^3-6 x^2+11 x+6=0\), then \(\Sigma \alpha^2 \beta+\Sigma \alpha \beta^2\) is equal toAP EAMCET 2021 Easy
- A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, the probability that either both are white or both are blue isAP EAMCET 2022 Easy
- If is a function defined on by , then is equal to ([.] greatest integer function)AP EAMCET 2021 Medium
- Number of unit vectors of the form where isAP EAMCET 2020 Easy
- Suppose a point \(\mathrm{P}\) moves so that \(\mathrm{BP}^2-\mathrm{AP}^2=121\), where \(A\) and \(B\) are \((2,5)\) and \((5,11)\) respectively. Then the locus of \(\mathrm{P}\) is a straight line, whose slope isAP EAMCET 2022 Medium
More PYQs from AP EAMCET
- The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the \(x\) and \(y\)-axes respectively areAP EAMCET 2009 Easy
- If uncertainty in position and momentum of an electron are equal, then uncertainty in its velocity isAP EAMCET 2024 Easy
- One mole of \(\mathrm{N}_2 \mathrm{H}_4\) loses 10 moles of electrons to form a new compound \(Z\). Assuming that all the nitrogens appear in the new compound, what is the oxidation state of nitrogen in \(Z\) ? (There is no change in the oxidation state of hydrogen.)AP EAMCET 2012 Hard
- The point \(P(a, b)\) lies on the straight line \(3 x+2 y=13\) and the point \(Q(b, a)\) lies on the straight line \(4 x-y=5\). Then the equation of the line \(P Q\) isAP EAMCET 2017 Medium
- The impedance of an LR circuit with \(\mathrm{L}=\frac{60}{\pi} \mathrm{mH}\), \(\mathrm{R}=8 \Omega\) and frequency \(50 \mathrm{~Hz}\) isAP EAMCET 2022 Medium
- If \(\int \frac{\sqrt{1-x^4}}{x^7} d x=f(x)\left\{\sqrt{1-x^4}\right\}^n+C\), then \((f(x))^n\) is equal toAP EAMCET 2021 Hard