A transit shows that the line from a point on the ground to the top of a mountain makes an angle of 30\deg . At a point 1000 feet closer to the base of the mountain, the angle is 40\deg . Analyze the following solution: First, find the missing angles of the obtuse triangle. The obtuse angle is: 180\deg -40\deg =140\deg Use the result to find the acute angle: 180\deg -140\deg -30\deg =10\deg now apply the law of sines: 1000/sin(10)=h/sin(30) h=2879.385 therefore the height of the mountain peak is approximately 2879 feel tall. is this answer correct? if not explain why. a the answer is wrong, the law of sines is applied incorrectly and solve for h using the equation sin(10)/1000= sin(90)/h. b the answer is not complete, the law of sines is not applied to the height of the mountain but to the opposite side of the inside triangle containing the angle 30/deg. c the answer is correct and the mountain is approximately 2879 feet tall d the answer is wrong, the law of sines is applied incorrectly and solve for h using the equation sin(30)/1000=sin(40)/h. state the height of the mountain