Hans leaned a 17 ft ladder against his house. He placed the base of the ladder 8 ft from his house, and the top of the ladder re
ached the base of his window.
How high is the base of his window from the ground?
+
=
A.25
B.15
C.23
D.17
How high is the base of his window from the ground?
A.25
B.15
C.23
D.17
1 answer:
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Answer: miles
Step-by-step explanation:
We can express a mixed fraction as an improper fraction.
The process is as follows:
The given mixed number = miles
This can be represented as
Hence, the required fraction= miles
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
