Solve the right triangle. M P n 53.70 P 122 m N Find the measure of M. M= (Round to one decimal place as needed.)Solve the right triangle. 57.857 cm 35 0899 B C a Find the measure of A. A = (Round to four decimal places as needed.)Solve the right triangle using the given information. a = 75.9 yd, b = 41.6 yd A B a The length of c is yd (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed.)K Solve the right triangle. B b = 1.97 c= 4.04 . . . C a A C b A ~ (Round to the nearest tenth as needed.)Solve the right triangle ABC, with C = 90. A = 52.0', c= 18.9 ft In the right triangle ABC, with C = 90, B = O (Simplify your answer. Type an integer or a decimal.)Solve the right triangle ABC, with C = 90 B = 63.0, b = 103 in In the right triangle ABC, with C = 90, A = O (Simplify your answer. Type an integer or a decimal.)Solve the right triangle ABC, where C = 90. a = 75.4 yd, b = 41.7 yd The length of c is yd (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)Points: 0 of 1 Save A 13.5-m fire truck ladder is leaning against a wall. Find m the distance d the ladder goes up the wall (above the (Simplify your answer. Type an integer or a fire truck) if the ladder makes an angle of 40 35' with the decimal. Round to the nearest hundredth.) horizontal. 13.5 m d 40 35 ooSuppose that you are headed toward a plateau 32 meters high. If the angle of elevation to the top of the plateau is K 35, how far are you from the base of the plateau? What is your distance from the base of the plateau? meters (Round to two decimal places as needed.)ve the street, the %&]\\m:l':u of | the building across the street is of depression to the base of this ind the height of the building across the f the building across the street is D ft e nearest whole number as needed.) A security camera is to be mounted on a bank wall so as to have a good view of the head teller. Find the angle of depression of the lens. 5.38 At Head 12.55 ft teller The angle of depression of the lens is (Do not round until the final answer. Then round to the nearest tenth as needed.)A tunnel is to be dug from A to B. Both A and B are visible from C (see the figure) K If AC is 1.5307 miles, BC is 1.1779 miles, and C is 90, find the measures of Tunnel angles A and B. Note that the given triangle is not an isosceles triangle. A A ~ O (Do not round until the final answer. Then round to the nearest thousandth as needed.)The angle of elevation from a point on the ground to the top of a pyramid is 33 40'. The angle of elevation from a h point 185 feet farther back to the top of the pyramid is 24 10'. Find the height of the pyramid 24 0 10' 3340' 185 X What is the height of the pyramid? ft (Round to the nearest integer.)An observer at the top of a lighthouse begins watching a whale when the angle of depression to the whale is 7120 40' 12 40'. Just as the whale turns away from the lighthouse, 40 12' the angle of depression is 40 12'. If the height of the lighthouse is 61.6 m, find the distance traveled by the 61.6 m whale as it approaches the lighthouse. X The distance traveled by the whale is m (Round to the nearest whole number.)K A piece of land has the shape shown in the given figure. Find the value of x. 195.8 m X 5420' 3250' X = m (Do not round until the final answer. Then round to the nearest tenth as needed.)A ship leaves its port and sails on a bearing of N21 10'E, at speed 27.7 mph. Another ship leaves the same port at the same time and sails on a bearing of S68 50'E, at speed 10.7 mph. 21 10' C 68 50' How far apart are the ships after 3 hours? miles (Round to the nearest integer as needed.)A plane flies 1.6 hours at 120 mph on a bearing of 10. It then turns and flies 9.1 hours at the same speed on a 100 bearing of 100. How far is the plane from its starting point? 100 X The plane is miles from its starting point. (Round to the nearest whole number.)The altitude of a mountain peak is measured as shown in the 27.8116 mi figure to the right. At an altitude of 14,574 feet on a different mountain, the straight-line distance to the peak of mountain is 27.8116 miles and the peak's angle of elevation is 5.77 14.574 ft Approximate the height of the mountain to the nearest foot. (Neglect the curvature of the earth.) The height of the mountain is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.)Find the exact value of each part labeled with a variable in the following figure. 21 m g 30 b b = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)