Answer:
A. 24 miles.
Step-by-step explanation:
We are required,
To find the length of the new road connected to the service station.
Using the theorem stating 'If the altitude is drawn to the hypotenuse of a right triangle, then all the three triangles obtained are similar'.
Thus, the triangles shown in the figure are similar.
<em>Since, when the figures are similar, the proportion of the measurements are equal. </em>We get,
Upon solving, we have,
<h3>Thus, the length of the new road is 24 miles.</h3>
The diameter of a circle is like a circle that’s a line through
1,000 times great. 50,000/50 = 1000
Answer:
0.51
Step-by-step explanation:
Use knowledge of trigonometric ratios to find cos(F).
Remember:
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
In this case, we're dealing with cosine, so let's use the cosine formula.
cos(F) = adjacent/hypotenuse
When you look at the diagram, you can see that the you are only given opposite and hypotenuse, so we still need the length of the adjacent side.
Since this is a right triangle, we can use the Pythagorean Theorem, , to find the length of the adjacent side.
So + 56² = 65².
Solve for a.
+ 3136 = 4225
= 4225 - 3136 = 1089
a = √1089 = 33
Now that we know the length of the adjacent side, we can go back and use the cosine formula.
cos(F) = adjacent/hypotenuse
cos(F) = 33/65 ≈ 0.51
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