Answer:
D). The plane needs to be about 27 meters higher to clear the tower.
Explanation:
Given that,
Height of the tower = 98 m
Distance traveled by plane = 83 m
The distance of the take-off point from the tower = 42m
This shows that it forms a right-angled triangle with
Base(B) = 42m
Hypotenuse(H) = 83m
To find,
The height of this triangle(x) = ?
Using Pythagoras theorem, we know that,
B^2 + x^2 = H^2
⇒ x^2 = H^2 - B^2
⇒ x^2 = (83)^2 - (42)^2
⇒ x^2 = 6889 - 1764
⇒ x =
∵ x = 71.58 m
Thus, the height difference from the position of the plane to the tower = 98 - 71.58
= 26.42 m
Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.