Use the Law of Sines to solve each triangle with the given measures. Round answers to the nearest tenths. A = 38°, a = 41 in, b
1 answer:
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Answer:
7/18
Step-by-step explanation:
²=((2*7)+4)/7
2*7=14
14+4=18
18/7⇒7/18
Answer:
a) (see attached picture)
b) d, h, velocity of helicopter, dd/dt
in the direction oposite to the movement of the helicopter.
Step-by-step explanation:
In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.
we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:
and substitute the given values:
which yields:
x=0.866mi
we know that the height of the helicopter is going to be constant, so we rewrite the equation as:
Next, we can go ahead and differentiate the equation so we get:
which can be simplified to:
we can next solve the equation for dx/dt so we get:
so we can now substitue te provided values so we get:
so we get:
the negative sign means that the x-value is decreasing.
now, this problem deals with relative velocities, so we get that:
Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:
so we can solve this for the actual velocity of the car, so we get:
so we get:
which yields:
So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.
Applying the distance formula, the distance from from Tia's home to Lei's home = 14.4 units.
<h3>What is the Distance Formula?</h3>The distance formula helps us to find the distance between two given coordinate points. It is expressed as, .
Tia = (4, 8) = (x1, y1)
Lei = (12, 20) = (x2, y2)
Apply the distance formula to find the distance from Tia's home to Lei's home:
d = √[(12−4)² + (20−8)²]
d = √[(8)² + (12)²]
d = √(64 + 144)
d = √208
d ≈ 14.4 units
The distance from from Tia's home to Lei's home = 14.4 units.
Learn more about the distance formula on: