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den301095 [7]
3 years ago
8

An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Fin

d the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

Distance between two ships = 73 units

Step-by-step explanation:

Note:

tangent = opposite / hypotenuse

Referring to diagram,

Distance of ship A from tower = 100 tan(90-45) = 100 units

Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units

Distance between two ships = 100-27 = 73 units

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What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle  that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.

perimeter=2l+2w
 
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h²         substitution
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162=h²
√162=√h2           used radical properties
√162=h               length =√162

Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.

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Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9

D. 33.9 units

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3 years ago
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Answer:

Step-by-step explanation:

The center tells you how to handle the left side of a circle's equation.

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Step-by-step explanation:

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Step-by-step explanation:

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