Answer:
756.36 meters
Step-by-step explanation:
Draw a diagram. Let's call the horizontal distance from the top of the mountain to the closest point x.
Using tangent = opposite / adjacent, we can write two equations:
tan 35.3° = h / x
tan 25.76° = h / (x + 500)
Solve for x in the first equation and substitute into the second.
x = h / tan 35.3°
tan 25.76° = h / ((h / tan 35.3°) + 500)
Solve for h.
tan 25.76° (h / tan 35.3°) + 500 tan 25.76° = h
500 tan 25.76° = h (1 − (tan 25.76° / tan 35.3°))
500 tan 25.76° tan 35.3° = h (tan 35.3° − tan 25.76°)
h = 500 tan 25.76° tan 35.3° / (tan 35.3° − tan 25.76°)
h ≈ 756.36 meters
Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
F(x) = input the x
3x+2
multiply it by 3 and add 2
3*x+2=
3*5+2=
15+2 =
17
or if you meant 2x:
it would be the same just do:
3+2x
3+2*5
3+10
13
The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>
See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
brainly.com/question/4372174
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