Respuesta :
Answer:
[tex]23.53\text{ feet}[/tex]
Step-by-step explanation:
GIVEN: One airport has a ramp sloping down from the passenger waiting area to the plane. If the distance from the waiting area to the plane is [tex]23 \text{ feet}[/tex] and the height from the ground to the waiting area is [tex]5 \text{feet}[/tex].
TO FIND: length of ramp.
SOLUTION:
Consider the figure attached
Distance from the waiting area to the plane [tex]=23\text{ feet}[/tex]
height from the ground to the waiting area [tex]=5\text{ feet}[/tex]
let the length of ramp be [tex]=\text{r}[/tex]
Now,
Using Pythagorean theorem
[tex]\text{r}^2=23^2+5^2[/tex]
[tex]\text{r}^2=554[/tex]
[tex]\text{r}=23.53\text{ feet}[/tex]
Hence the length of ramp is [tex]23.53\text{ feet}[/tex]
