Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!
You've found the prime factorization when all of your factors are prime. They can't be divided into any smaller factors.
Answer:
- jet in still air: 712 mi/h
- jetstream rate: 50 mi/h
Step-by-step explanation:
The relation between speed, time, and distance is ...
speed = distance/time
Against the wind, the speed is ...
(3310 mi)/(5 h) = 662 mi/h
With the wind, the speed is ...
(3810 mi)/(5 h) = 762 mi/h
The jet stream adds to the speed in one direction, and subtracts in the other direction, so the difference in travel speeds is twice the speed of the jet stream:
(762 mi/h -662 mi/h)/2 = jet stream speed = 50 mi/h
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The speed of the plane is the average of the two speeds, or the sum of jet stream speed and the lower speed, or the difference of the higher speed and the jet stream speed. Any of these calculations will give the plane's speed in still air:
(762+662)/2 = 662 +50 = 762 -50 = 712 . . . mi/h
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
