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:
27
Step-by-step explanation:
To get the median, we line the values up from lowest to greatest.
23, 25, 25, 27, 32, 35, 36
What's the number in the middle? Since there's an odd number of values, it's easier to see: the median is 27.
Answer:
First option, 4 because 1/6 + 1/6 + 1/6 +1/6 = 4/6
Answer:
0.0006726759 to be exact.
Answer:
$13564
Step-by-step explanation:
Mary’s taxable income= $68,562
From the table, If taxable income is over $31,850 but not over $77,100
The tax = $4386.25 + 25% of the amount over 31,850
Amount over $31,850=$68,562-$31,850
=$36,712
Therefore:
Mary's tax = $4386.25 + (25% of $36,712)
=$4386.25 +9,178
=$13564.25
=$13564 (to the nearest dollar)
