Solve the problem. If necessary, round to the nearest tenth.
-A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 17 m high and the driveway is 49 m from the building, how long is the string of
Banners?
A) 24.0 m
B) 46.0 m
C) 51.9 m
D) 8.1 m

Question

Quizplus · Accepted Answer

The length of the string of banners can be found using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the building's height (17 m) and the distance from the building to the driveway (49 m) are the two shorter sides of the triangle. Thus, the length of the string (hypotenuse) is the square root of (17^2 + 49^2) = sqrt(289 + 2401) = sqrt(2690) ≈ 51.9 m.

Solve the Problem