Please help and explain why!!!!! Will mark as brainliest if correct!
1 answer:
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Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,
⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)
Answer:
Volume =
Step-by-step explanation:
Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.
To find - Find the volume V of this solid.
Solution -
Given that,
The equation of the line with both x-intercept and y-intercept as 4 is -
⇒x + y = 4
⇒y = 4 - x
Now,
Volume =
where
A(x) is the area of general cross-section.
It is given that,
Cross-sections perpendicular to the x-axis are squares.
So,
A(x) = (4 - x)²
As solid lies between x = 0 and x = 4
So,
The Volume becomes
Volume =
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⇒Volume =
