Why do you think the cart rolls farther when it starts from a higher position?
2 answers:
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Answer:
23.094 ft approximately
(If you want your answer in a different format, let me know please.)
Step-by-step explanation:
I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.
But I think they want you to use the formula:
.
Input into calculator:
(approximation)
l represents the length of the roof.
So we have l=46.188 and b=40.
We must use the Pythagorean Theorem to find the height,h, for of the roof.
l is the hypotenuse.
Subtract 1600 on both sides:
Take square root of both sides:
The answer is 23.094 feet for the height that roof reaches on the building.
I want to show you another way:
Multiply both sides by 40:
Input into calculator:
I didn't do it this way because your problem suggested you use their formula to find the height.
Given:
To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
(Right angle)
(Given)
(Common side)
(HL congruent postulate)
(CPCTC)
The value of x is 10.
The measure of angle MFZ is:
Therefore, the measure of angle MFZ is 19 degrees.