Points A and E are separated by a lake. To find the distance between them a surveyor locates a point C on land such than LCAB = 54.5". Find the distance across the lake from A to 3. B 513 r: '3 356 ft NOTE: The triangle is NOT drawn to scale. distance = ft Enter your answer as a number; your answer should be accurate to 2 decimal places. The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 44 km apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 315.4" and 35.2", respectively. NOTE: The picture is NOT drawn to scale. How far is the satellite from station A? distance from A = l | km How high is the satellite above the ground? height = I |km Enter your answer as a number; your answer should be accurate to 2 decima! places. To estimate the height of a building. two students nd the angle of elevation from a point {at ground level] down the street from the building to the top of the building is 35". From a point that is 100 feet closer to the buildingl the angle of elevation [at ground level: to the top of the building is 4?". If we assume that the street is level, use this information to estimate the height of the building. The height of the building is |:' feet. .21 1: Given the triangle , find the length of side 3: using the Law of Cosines. Round your final L2 answer to 4 decimal places. A step mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. Acable car is to be installed running to the top of the mountain from a point 330 ft out in the plain from the base of the mountain. Find the shortest length of cable needed. 30 1: Given the triangle , find the length of side 1.- using the Law of Cosines. Round your final 13 answer to 4 decimal places. Question Help: El Video Submit Question Given the triangle 16 find the measure of angle A using the Law of Cosines. Picture is not A 13 drawn to scale A degrees Give your answer accurate to at least one decimal placeFind :2 if a. = 2.57 mi, b = 3.34 mi and 0 = 40.7 degrees. Enter :5 rounded to 3 decimal places. I3::l mi: Assume 1A is opposite side 0., LB is opposite side I), and AC is opposite side c. Given the triangle 29 11 , find the area of the triangle. Round your final answer to 4 decimal 33 Q places. Area = units-To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. B 1.16 mi 45.70 C 2.74 mi A NOTE: The triangle is NOT drawn to scale. distance = mi Enter your answer as a number; your answer should be accurate to 2 decimal places.A step mountain is inclined ?4 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. Acable car is to be installed running to the top of the mountain from a point 5'40 ft out in the plain from the base of the mountain. Find the shortest length of cable needed. A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 700 mi/h, how far is she from her starting position? Your answer is mi; Enter your answer rounded to two decimal places