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Ymorist [56]
3 years ago
10

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the light

house is 26 degrees . The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse ?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
≈ 43.8 , lmk if u need like an explanation or something
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Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpo
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\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ -1}}\quad ,&{{ 6}})\quad &#10;%   (c,d)&#10;&({{ 5}}\quad ,&{{ 5}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-6}{5-(-1)}\implies \cfrac{5-6}{5+1}\implies -\cfrac{1}{6}

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\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{6}\\\\&#10;slope=-\cfrac{1}{{{ 6}}}\qquad negative\implies  +\cfrac{1}{{{ 6}}}\qquad reciprocal\implies + \cfrac{{{ 6}}}{1}\implies 6

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\bf \begin{array}{lllll}&#10;&x_1&y_1\\&#10;%   (a,b)&#10;&({{ 2}}\quad ,&{{ \frac{11}{2}}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies 6&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\cfrac{11}{2}=6(x-2)&#10;\\\\\\&#10;y-\cfrac{11}{2}=6x-12\implies -6x+y=-12+\cfrac{11}{2}\implies \stackrel{\textit{standard form}}{-6x+y=-\cfrac{13}{2}}
6 0
3 years ago
Slope =-1, y-intercept = 3
ss7ja [257]

If you are looking for the equation, then it would be y = -x+3

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b = 3 = y intercept

If you want to graph this, then plot the points (0,3) and (1,2). Then draw a straight line through them both. Extend the line in both directions as much as possible.

7 0
2 years ago
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