Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = ∠AOH
- O = AH = 8
- A = OH = 19.80
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
- = ∠BOH = 38.99930165°
- O = HB
- A = OH = 19.80
Substituting given values:
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Answer:
22 degrees.
Step-by-step explanation:
Please find the attachment.
We have been given that a man is in a tree-house 10 feet above the ground. He is looking at the top of another tree that is 22 feet tall.The bases of the trees are 30 feet apart.
To find the angle of elevation from the man's feet to the top of the tree, we will use tangent because we know adjacent side and opposite side to angle x.
Now, we will use arctan or inverse tan to solve for x as:
Upon rounding to nearest degree, we will get:
Therefore, the angle of elevation from the man's feet to the top of the tree is approximately 22 degrees.
Answer:
C. 400
Step-by-step explanation:
Answer:
3rd one I think
Step-by-step explanation:
<span>The probability that both televisons work is 18/33.
</span><span>The probability that at least one does not work is 15/33.
</span>
Let x = number of shipments, x = 12
P(defective) = 3/12
P(working) = 9/12
The probability that two randomly selected televisions are both working is:
9/12 * 8/11 = 72 / 132 or 18/33
P(2 working) = 18/33
8/11 is used for the second selection since the number of televisions has been reduced due to the first selection.
The probability of 1 not working among the two can be solved through"
P(at least one defective among the 2) = 1 - <span>P(2 working)
</span><span>P(at least one defective among the 2) = 15/ 33
</span>
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