Respuesta :
Answer: the length of the ramp is 23.18 feet
Step-by-step explanation:
The right angle triangle ABC formed is shown in the attached photo.
The length of the ramp is represented by the hypotenuse of the right angle triangle, AC. To determine AC, we will apply trigonometric ratio
Sine # = opposite side/ hypotenuse
Looking at the triangle,
# = 15 degrees
Opposite side = 6 feet
Sin15 = 6/AC
ACSin15 = 6
AC = 6/Sin15 = 6/0.2588 = 23.18
The length of the ramp is 22.39m
Data;
- Angle of Elevation = 15°
- Height (opposite) = 6ft
- Length of ramp (adjacent) = x
Length of the Ramp
To calculate the length of the ramp, we would use trigonometric ratio on this. Since we have the value of opposite and angle and we only need the value of adjacent, we can use tangent ratio.
[tex]tan\theta = \frac{opposite}{adjacent}[/tex]
Let's substitute the values into the equation and solve
[tex]tan 15 = \frac{6}{x} \\x = \frac{6}{tan 15}\\x = 22.39m[/tex]
The length of the ramp is 22.39m
Learn more on trigonometric ratio here;
https://brainly.com/question/11967894
