For this case what we must do is use the law of cosines.
We then have the following equation:
![c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (x) ](https://tex.z-dn.net/?f=c%20%5E%202%20%3D%20a%20%5E%202%20%2B%20b%20%5E%202%20-%202%20%2A%20a%20%2A%20b%20%2A%20cos%20%28x%29%0A)
Where,
a, b: sides of the triangle
x: angle between sides a and b.
Substituting values we have:
![c^2 = 90^2 + 75^2 - 2*90*75*cos(85) ](https://tex.z-dn.net/?f=c%5E2%20%3D%2090%5E2%20%2B%2075%5E2%20-%202%2A90%2A75%2Acos%2885%29%0A)
Clearing the value of c we have:
Answer:
An expression that is equivalent to how many feet the oak trees are from each other is:
Answer:
C. 1.12
Step-by-step explanation:
There are 60' (minutes) in a degree and 60" in a minute meaning that we have (60×60) seconds in a degree.
Therefore to convert seconds to degrees we divide by 3600. and minutes to degrees we divide by 60.
The angle 48°19'23'' can be converted into a decimal as follows
48°+(19/60+23/3600)°
=48.323°
Tan 48.323= 1.12
Using the Laws of Cosine, we obtain
![C^2 = 55^2+108^2-2(108)(55)*cos(59)](https://tex.z-dn.net/?f=C%5E2%20%3D%2055%5E2%2B108%5E2-2%28108%29%2855%29%2Acos%2859%29)
, which c approximately equals 153.44. So Line AB ≈ 153.44 meters.
Answer:
<h2>Direction is represented by +9, indicating that is moving in a positive direction (upwards).</h2><h2>Zero is the reference point.</h2>
Step-by-step explanation:
So, basically, we need to apply a reference system to express directions, because all movements are represented respect to a reference point. In this case, number zero represents that reference point, which is located in the ground, setting this reference point we can measure the distance that Xavier traveled upwards the apple tree.