TS EAMCET · Maths · Heights and Distances
The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be \(30^{\circ}\). After walking 120 metres towards it on level ground the elevation is found to be \(60^{\circ}\). Then the height of the object (in metres) is :
- A 120
- B \(60 \sqrt{3}\)
- C \(120 \sqrt{3}\)
- D 60
Answer & Solution
Correct Answer
(B) \(60 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let \(h\) be the height of the object. In \(\triangle A C D\) \(\tan 30^{\circ}=\frac{C D}{A C}\) \(\Rightarrow \quad \frac{1}{\sqrt{3}}=\frac{h}{120+x}\) \(\Rightarrow \quad \sqrt{3} h=120+x\) ...(i) and in \(\triangle B C D\) \(\tan 60^{\circ}=\frac{C D}{B C}\)…
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 are the roots of the equation thenTS EAMCET 2021 Easy
- A particle moves along the curve \(y=x^2+2 x\). Then, the point on the curve such that \(x\) and \(y\) coordinates of the particle change with the same rate isTS EAMCET 2004 Easy
- If the real valued function \(f(x)=\left\{\begin{array}{cc}\frac{\left(4^x-1\right)^4 \cot (x \log 4)}{\sin (x \log 4) \log \left(1+x^2 \log 4\right)}, & \text { if } x \neq 0 \ k, & \text { if } x=0\end{array}\right.\) is continuous at \(x=0\), then \(e^k=\)TS EAMCET 2024 Hard
- Let be differentiable functions such that . If , then the value of isTS EAMCET 2018 Medium
- If thenTS EAMCET 2022 Easy
- TS EAMCET 2021 Easy
More PYQs from TS EAMCET
- What are X and Y respectively in the following reactions? \(\mathrm{X} \stackrel{\mathrm{CO}}{\longleftrightarrow} \mathrm{B}_2 \mathrm{H}_6 \xrightarrow[\left(\mathrm{C}_2 \mathrm{H}_5\right)_2 \mathrm{O}]{\mathrm{NaH}} \mathrm{Y}\)TS EAMCET 2024 Hard
- An electrolyte of a polymer-salt complex of poly (ethylene oxide) - is shaped into a free standing circular film of diameter and a thickness of When it is sandwiched between 2 stainless steel circular electrodes of the same diameter, this cell exhibits a conductance of What is the specific conductivity of the electrolyte?TS EAMCET 2019 Hard
- The area (in sq units) of the triangle whose vertices are the points represented by the complex numbers \(0, z\), \(z e^{i \alpha}(0 < \alpha < \pi)\) isTS EAMCET 2018 Easy
- If \((-2, 6)\) is the image of the point \((4, 2)\) with respect to the line \(L = 0\), then \(L\) is equal toTS EAMCET 2002 Easy
- Match the following.
The correct answer is
TS EAMCET 2018 Hard - If the line \(x-y=-4 K\) is a tangent to the parabola \(y^2=8 x\) at \(P\), then the perpendicular distance of normal at \(P\) from \((K, 2 K)\) isTS EAMCET 2017 Easy