GATE Electrical 2024 | GA | Question: 10

Question

​​​​A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ horizontal line segment is drawn with the two endpoints $\text{A}$ and $\text{B}$. Points $\text{A}$, $\text{B}$, and $\text{C}$ are not collinear. Each of the angles $\angle \mathrm{CAB}$ and $\angle \mathrm{CBA}$ are measured as $87.8^{\circ}$. The distance (in $\mathrm{m}$ ) of the reference point $\mathrm{C}$ from her position is nearest to

• A. $2603$
• B. $2606$
• C. $2306$
• D. $2063$

Comments

Given order of options are incorrect. Data is right but order is incorrect.

Answer 1

 

\[XC=tan(87.8^\circ)*100=2603.073\]

Hence, Option A is the correct answer.