The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
[tex]tanx = \frac{opposite side}{adjacent side}.[/tex]
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
[tex]tan x = \frac{25,000}{45,000} = 0.5555.[/tex]
So x = 29.0521°. Since x < 30°, it is a safe landing.
