TS 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 \(\triangle B A C\), \(\tan \theta=\frac{x}{y}\) ...(i) 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 radius of the incircle of a triangle with sides \(5 k, 6 k\) and \(5 k\) is 6 , then the largest angle of that triangle isTS EAMCET 2020 Easy
- For \(n \in N\), the largest positive integer that divides \(81 n+20 n-1\) is \(k\). If \(S\) is the sum of all positive divisors of \(k\) then \(S-k=\)TS EAMCET 2024 Easy
- \(\begin{aligned} & \text { If } \int x[\log (1+x)]^3 d x=\frac{(1+x)^2}{16}(f(x)) \ & +(1+x)(g(x)), \text { then } f(x)+g(x)=\end{aligned}\)TS EAMCET 2020 Medium
- If the image of \(\left(\frac{-7}{5}, \frac{-6}{5}\right)\) in a line is \((1,2)\), then the equation of the line isTS EAMCET 2014 Easy
- \(x\) and \(y\) are two positive integers such that \(2 x+3 y=50\). If \(x^2 y^3\) is maximum for \(x=\alpha\) and \(y=\beta\), then \(\frac{\alpha}{2}+\frac{\beta}{5}=\)TS EAMCET 2023 Easy
- In triangle ABC , if \(a=4, b=3, c=2\) thèn \(2(a-b \cos C)(a-c \sec B)=\)TS EAMCET 2024 Easy
More PYQs from TS EAMCET
- A hollow spherical shell of radius \(r\) has a uniform charge density \(\sigma\). It is kept in a cube of edge \(3 r\) such that the centres of the cube and the shell coincide. Then the electric flux coming out of one face of a cube is ( \(\varepsilon_0\) - permittivity of free space)TS EAMCET 2023 Medium
- The locus of \(z\) such that \(\left|\frac{z-i}{z+i}\right|=2\), where \(z=x+i y\), isTS EAMCET 2023 Medium
- Two wires A and B made of same material and areas of cross-section in the ratio \(1: 2\) are stretched by same force. If the masses of the wires \(A\) and \(B\) are in the ratio \(2: 3\), then the ratio of the elongations of the wires A and B isTS EAMCET 2025 Medium
- A coil has inductance of \(0.4 \mathrm{H}\) and resistance of \(8 \Omega\). It is connected to an \(\mathrm{AC}\) source with peak emf \(4 \mathrm{~V}\) and frequency \(\frac{30}{\pi} \mathrm{Hz}\). The average power dissipated in the circuit isTS EAMCET 2018 Hard
- The van der Waals' equation for \(0.5 \mathrm{~mol}\) of a gas isTS EAMCET 2019 Easy
- For a particle executing uniform circular motionTS EAMCET 2020 Easy