5. Consider a right triangle. The height of this triangle is always 3 meters. The lengths of the base and hypotenuse are increasing. The length of the base is increasing at a rate of 7 meters per minute. (a) Draw and label this triangle (b) Write a formula relating the change in the length of the hypotenuse to the change in the base. (c) Calculate how fast the hypotenuse is getting longer when the base is 4 meters. (d) How fast is the angle between the base and the hypotenuse changing when the base is 4 meters and the angle is 30°?

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