The following diagram shows an isosceles triangle $\Delta ABC$ with $AC = BC$ and $AB = 8$ cm.

Question

The following diagram shows an isosceles triangle $\Delta ABC$ with $AC = BC$ and $AB = 8$ cm. The vertex $C$ is moving towards the line $AB$ in a direction perpendicular to $AB$ at a speed of $1.5$ cm $\mathrm{s}^{-1}$. Find the rate of change of $\angle ACB$ when triangle $\Delta ABC$ is equilateral.

Accepted Answer

$\frac{3}{16}\text{ rad s}^{-1}$

Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

Differentiation - Differentiation of Trigonometric, Logarithmic and Exponential Functions - General

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