MathCastle
CalculusEasy

Calculus · Easy problem

A 1010-meter ramp makes an angle θ(h)=arcsin⁡ ⁣(h10)\theta(h)=\arcsin\!\left(\dfrac{h}{10}\right) with the ground, where hh is the height of its top above the ground. An inspector needs the height at which the angle is changing at exactly 18\dfrac18 radians per meter. Find that height hh.

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