If a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point. How high is the ramp?
Answers
Answer:
The height of the ramp is 9 meter
Solution:
It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.
If we look at the sum, closely we understand that the ramp is a right angled triangle.
Which has a base length of 12 metres and a hypotenuse of 15 metres.
We need to find its height.
To do so we can use the Pythagoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, we get
\text {Hypotenuse}^{2}=\text {height}^{2}+\text { base }^{2}Hypotenuse
2
=height
2
+ base
2
Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.
Let height of the ramp be denoted by ‘h’
\begin{gathered}\begin{array}{l}{15^{2}=12^{2}+h^{2}} \\\\ {225=144+h^{2}} \\\\ {225-144=h^{2}} \\\\ {81=h^{2}} \\\\ {h=\sqrt{81}} \\\\ {h=9}\end{array}\end{gathered}
15
2
=12
2
+h
2
225=144+h
2
225−144=h
2
81=h
2
h=
81
h=9
Therefore, the height of the ramp is 9 metres
Answer:
we have to use Pythagoras theorem 15 is the hypo. and 12 is the base so
15²=12²+height ²
225-144=h²
root81 =h
9meters =height
so the Nswer is 9meters