An athlete stands on top of a diving platform preparing to take a running start. she needs to complete an acrobatic dive that involves landing in the water 13 feet away (horizontally) from the end of the diving platform. the angle of depression from the athlete's feet at the end of the diving platform to the spot on the water where she wishes to land is 68.5°.

how tall is the diving platform that the diver is standing on?

the diving platform is approximately feet high.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.