A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 26∘26∘. From a point 2000 feet closer to the mountain along the plain, they find that the angle of elevation is 29∘29∘. How high is the mountain in feet?

question 1. This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to the nearest whole number.) a = 35 ft, b = 89 ft     question 2. The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Redraw the figure below, label as indicated in the problem, and then solve the problem.If A = 27° and r = 16, find x. (Round your answer to the nearest whole number.)     Question 3.A soccer field has a rectangular penalty area that measures 126 feet by 53 feet. The goal is 24 feet wide and centered along the back of the penalty area. Assume the goalkeeper can block a shot 6 feet to either side of their position for a total coverage of 12 feet.A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands in the center of the goal and can thus block a shot anywhere along segment CD. To score, the shooter must kick the ball…