An small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.5 degress? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.
+23254 Draw a right triangle from the plane (point A) parallel to the ground to a point right above the airport (point C) and from point C down to the airport (point B) and then from point B back to point A.
There is a right angle at point C.
AC = 4 miles
angle A is 6.5 degrees (the angle of elevation is the same as the angle of depression)
In right triangle ACB, you know angle A and its adjacent side, AC. You need to know its opposite side CB.
tan = opp/adj ---> tan 6.5 = x / 4 ---> x = 4 · tan(6.5)
Solve for x.
+23254 Draw a right triangle from the plane (point A) parallel to the ground to a point right above the airport (point C) and from point C down to the airport (point B) and then from point B back to point A.
There is a right angle at point C.
AC = 4 miles
angle A is 6.5 degrees (the angle of elevation is the same as the angle of depression)
In right triangle ACB, you know angle A and its adjacent side, AC. You need to know its opposite side CB.
tan = opp/adj ---> tan 6.5 = x / 4 ---> x = 4 · tan(6.5)
Solve for x.
