Answer: The plane is 6,547 feet from the closer edge of the runway.
This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.
The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other.
Do that will give you the equation:
x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway.
If you solve that equation, you will get x = 6547 feet.
Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct
Hello there, and thank you for posting your question here on brainly.
<em>Short answer: 25.48 x 10^4
</em>
Why?
This equation has a few steps. Simplify the brackets. (2.8 x 10^-2)*(9.1 x 10^6) --> 2.8 x 10^-2 * 9.1 x 10^6 Simplify. (or multiply the two decimals) 2.8 x 10^-2 * 9.1 x 10^6 --> 25.48 x 10^-2 x 10^6 Use the <em>product rule. </em>(the formula is x^y x^z = x^ y+z) 25.48 x 10^-2 x 10^6 --> 25.48 x 10^4
Hope this helped you! ♥
Answer:
It's 4
Step-by-step explanation:
It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.
1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)
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10
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4
Explanation:
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8
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(
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a
m
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