A skateboard ramp at a park has an inclination of 54º and its base is 12 feet long. What is the length of the ramp?
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Answer:
Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:
And, according to the exercise, its lenght is 7 more than its width; then:
Then, you can make the corresponding substitution into the formula :
Simplify:
Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:
The width of the rectangle is the positive value:
Then, the lenght is:
Standard form for the equation of the line is
Solution:
Given point is (2, –5).
slope of the line m =
Here,
Equation of a line passing through the point:
Subtract 15 from both sides of the equation.
Standard form for the equation of the line is