Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
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<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
The equation that can be used to determine the maximum height is given as h = 15tan4.76°
Step-by-step explanation:
The question given is lacking an information. Here is the correct question.
"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"
The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°
The side of the wheelchair service ramp is the hypotenuse.
Given theta = 4.76°
And the base of the building = adjacent = 15feet
We can get the height of the building using the trigonometry identity SOH CAH TOA.
Using TOA
Tan(theta) = opposite/Adjacent
Tan 4.76° = h/15
h = 15tan4.76°
The equation that can be used to determine the maximum height is given as h = 15tan4.76°
∛(1/8 - <em>x</em>) = -1/2
Take the 3rd power of both sides and solve:
(∛(1/8 - <em>x</em>))³ = (-1/2)³
1/8 - <em>x</em> = -1/8
2/8 = <em>x</em>
<em>x</em> = 1/4
From least to greatest ,0.5, 1.25, 1.4,1.95, 2.0
