Answer:
10.4 feet.
Step-by-step explanation:
Let l be the length of the ramp which is leaning against the building,
Given,
The ramp makes a 15 degree angle with the ground.
Also, the distance of one end of ramp from the base of the building = 10 feet,
A building is generally supposed to perpendicular the ground,
Hence, By making the diagram,
We get,
[tex]cos 15^{\circ}=\frac{10}{l}[/tex] ( Trigonometric ratio ),
[tex]\implies l = \frac{10}{cos 15^{\circ}}=10.3527618041\approx 10.4[/tex]
Therefore, the ramp is approximately 10.4 feet long.
