A rock climber is standing at the edge of a cliff looking down into a valley and sees a lion laying 120 feet from the base of the cliff. The angle of depression of the rock climber to the lion is 35º. How high is the cliff in feet?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe