A 14.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck)
1 answer:
Answer:
h = 7.47 m
Step-by-step explanation:
According to the question, we have a right triangle formed by the ladder with the wall and the floor.
The length of the ladder is the hypotenuse and the desired height is the opposite. This is due to the fact that "the ladder makes an angle of 21" 27" with the horizontal". Then, the trigonometric ratio to use is sine:
Using the values given:
Multiplying both sides by 14.5:
Then h = 7.47 m
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Answer:
Great work!
Step-by-step explanation:
These kind of questions are calculated through Riemann Sum. You can evaluate any definite integral using the Riemann Sum. It should be in the following form:
f(x)dx on the interval [a, b], or
Now f(x) is simply y. Therefore in this example y = x^3 - 6x. We just need the sufficient amount of data to apply the Riemann Sum, including the interval [a, b] that bounds the area, and the the number of rectangles 'n' that we need to use.
Consider an easier approach to this question: (First attachment)
Graph: (Second Attachment)
