Answer:
9ft
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are proportional.
Let the height of the flag pole be x feet.
We multiply both sides by 6 to get:
We reduce the fraction to get:
We now simplify
Answer: I believe you answered your own question 21.
Step-by-step explanation: Logan will drive 7×3 or 21miles in 7 hours
Number 2 is 4x^5/3y^5 and 14 is 3125x^10
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
You would divide 121 by 8.
121 / 8 = 15.125 So she did about 15 sit ups in a minute. Hope this helps!
