Answer:
272, remainder 2
Step-by-step explanation:
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer:
17 and 53.
Step-by-step explanation:
Let the two unknown numbers be x and y respectively.
Translating the word problem into an algebraic expression, we have;
x + y = 70 ...... equation 1
x - y = 36 ...... equation 2
From equation 1;
x = 70 - y ...... equation 3
Substituting eqn 3 into eqn 2, we have;
70 - y - y = 36
70 - 2y = 36
70 - 36 = 2y
2y = 34
y = 17
Next, we find x;
x = 70 - y
x = 70 - 17
x = 53
Answer:
1/2
Step-by-step explanation:
I think so im not sure tho so sorry if its incorrect
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