9514 1404 393
Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Answer:
26.3158 percent chance fraction is 500/19
Step-by-step explanation:
hope this helps
pls mark brainliest
fraction is 500/19
Hello!
You can use the Pythagorean Theorem to solve this
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20)
c is the hypotenuse
a and b are the legs
Put in the values you know
![1.5^{2} + b^{2} = 1.7^{2}](https://tex.z-dn.net/?f=%201.5%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%201.7%5E%7B2%7D%20)
Square the numbers
![2.25+ b^{2} =2.89](https://tex.z-dn.net/?f=2.25%2B%20b%5E%7B2%7D%20%3D2.89)
Subtract 2.25 from both sides
![b^{2} =0.64](https://tex.z-dn.net/?f=%20b%5E%7B2%7D%20%3D0.64)
Take the square root of both sides
b = 0.8
The answer is 0.8km
Hope this helps!