Find the height of the basketball hoop to the nearest foot.
1 answer:
Answer:
12 ft
Step-by-step explanation:
Hi there!
<u>1) Find the length of the other leg in the right triangle</u>
There are two ways we can go about this. The first way is to use trigonomic ratios:
We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:
Let x be equal to the length of the other leg. Plug in the known values:
The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.
<u>2) Determine the height of the hoop</u>
Add 7 ft and 5 ft (the person's height):
7+5=12 ft
I hope this helps!
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Question:
Identify the sets that contain 2 as an element. (Check all that apply.)
Answer:
Step-by-step explanation:
Required
For which of the options is 2 an element
The elements of this set starts from 2, then 3 and continues as thus.
Hence: 2 is an element
From the given elements in the above set, 2 is not listed.
Hence: 2 is not an element of this set
Here, 2 is listed as an element, 2 is also listed as a subset.
Since 2 is listed as an element, then 2 is an element of the set.
Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.
Since 2 is not listed as an element itself, then 2 is not an element of the set.
Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set
Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.
Hence: 2 is not an element of the set