Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer:
1/2 , .5 , 50%
Step-by-step explanation:
<h2>
Answer:</h2>
$52.63
<h2>
Step-by-step explanation:</h2>
To find 20% of $43.86 we multiply $43.86 by 0.2
$43.86 • 0.2 = $8.772
Now add $43.86 and $8.772 to find out how much the family paid altogether.
$43.86 + $8.772 = $52.632
In money the smallest place value is cents so we have to round to the hundredths place.
Doing this we get the grand answer of:
$52.63
300 kelvin is greater.
300 kelvin equals approximately 26.85°C
Answer:
Therefore, the pairs of twin-prime numbers are (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) . So, the correct answer is “ (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) ."
