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Provide solution for RD Sharma maths class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 22

Answers (1)

Answer:

Vs=3.2 km/hr

Hint:

Here, we use basic concept of volume algebra

Given:

hm=2m \quad Vm=48km/hr \quad h_{1}=5m

Solution:

\begin{aligned} &\rightarrow \text { Consider } \Delta A E C \text { and } \Delta B E D\\ &\angle A E D=\angle B E D=\theta\\ &\angle E A C=\angle E B D=90^{\circ}\\ &\text { Therefore, } \Delta A E C \approx \Delta B E D \text { by AA criteria } \end{aligned}

\begin{aligned} &\frac{A C}{B D}=\frac{A E}{B E}\\ &\rightarrow \text { Substituting values, we get }\\ &\frac{5}{2}=\frac{4800+x}{x} \end{aligned}

\begin{aligned} &\rightarrow \text { Simplifying the equation }\\ &x=3200 \quad \quad......(i) \end{aligned}

\begin{aligned} &\rightarrow \text { Differentiating (i) respect to } r^{r}, \text { we get }\\ &V \cdot s=\frac{d x}{d t}=3200 \mathrm{~m} / \mathrm{hr}=3.2 \mathrm{~km} / \mathrm{hr} \end{aligned}

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Gurleen Kaur

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