The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the ladder and the ground is 740. How high up the building does the ladder touch? (Round your answer to one decimal place.) ft Two wires, a = 80 ft apart, tether a balloon to the ground, as shown. How high is the balloon above the ground? (Round your answer to the nearest whole number.) h = 750 850 To measure the height of an inaccessible cliff on the opposite side of a river, a surveyor makes the measurements shown in the figure below. Assume a = 69.1 and b = 56.90. Find the height of the cliff. (Round your answer to one decimal place.) m 33.10 a 200 m A surveyor has determined that a mountain is h = 2360 ft high. From the top of the mountain he measures the angles of depression to two landmarks at the base of the mountain and finds them to be 420 and c = 420. (Observe that these are the same as the angles ation from the landmarks as shown in the figure below.) The angle between the lines of sight to the landmarks is 680. Calculate the distance between the two landmarks. (Round your answer to the nearest integer.) ft A surveyor surveys two adjacent lots and makes the following rough sketch showing his measurements. Calculate all the distances shown in the figure if s = 130. (Round your answers to two decimal places.) 87. s ft 910 600 1750 . 920 d = e =[ F = 9 = h = Use your result to draw an accurate map of the two lots. 110.97 79.64 104.14 72.78 29.57 129.57 130 169.04- 150.09 131.45 130 169.04-- 150.09 131.45 104.14 14.18 110.97 79.64 72.78 104.14 79.64 110.97 131.45 129.57 30 131.45 130 169.04 150.09 150.09 169.04 129.57 10.97 72.78 104.14