To find the distance from the building where the trucks can park, we can use trigonometry. Since we have the height of the ramp (0.7m) and the angle of elevation (8°), we can use the tangent function.
Let x be the distance from the building where the trucks can park.
tan(8°) = 0.7 / x
Solving for x:
x = 0.7 / tan(8°)
x ≈ 0.7 / 0.1405
x ≈ 4.986 meters
Therefore, the workers should mark the spot for the trucks to park at a distance of approximately 5.0 meters from the building.
A mechanical ramp was designed for the factory. The ramp is extended when items are delivered or when items are being loaded onto the trucks. The height of the ramp is 0.7m and the angle of elevation of the ramp was 8°
The workers decided to mark the closest place that the trucks could park to the building so that the ramp can be extended. How far from the building should they mark the spot to the nearest tenth of a metre? (Pythagorean 0.7m, 8 degrees)
1 answer