Respuesta :
Answer:
3293 ft to nearest tenth = side
Step-by-step explanation:
To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).
sin (32) = 0.9271838546
3600/0.9271838546 = 3882.725074
= 3883 ft to nearest tenth. = slope
Then cos (32)x3882.725074 = 3292.737608
= 3293 ft to nearest tenth = side
The plane flying with an angle of depression of 32 degrees to a small fire below has an altitude of 2250 ft.
The situation forms a right angle triangle.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the horizontal distance from the kurt's plane to the fire is the adjacent side of the right triangle.
The altitude of the plane is the opposite side of the triangle.
Hence,
tan 32 = opposite / adjacent
tan 32° = h / 3600
cross multiply
h = 3600 tan 32°
h = 3600 × 0.6248693519
h = 2249.52966687
h = 2250 ft
Therefore, the approximate altitude of the plane is 2250 ft.
learn more on right triangle here: https://brainly.com/question/27403620
