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Alex17521 [72]
3 years ago
12

An observer at the top of a tower of height 20m sees a man due East of him at an angle of depression of 27°. He sees another man

due south of him at an angle of depression 30°. Find the distance between the men on the ground.
hint: question is from trigonometry. bearings.
Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

  • 52.35 m

Step-by-step explanation:

<em>Refer to picture.</em>

Let the distance to men are x and y and the distance between them is d.

The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.

<u>Find the distance from the tower to men:</u>

  • x = 20 tan 63° = 39.25 m
  • y = 20 tan 60° = 34.64 m

<u>The distance between men is:</u>

  • d = \sqrt{x^2+y^2} =\sqrt{39.25^2+34.64^2} = 52.35m

<em>Note, all numbers are rounded</em>

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Step-by-step explanation:

suplametery means when you add to angles together it will equal 180

while complementery is when to angels are added together to make 90 degrees

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PLEASE QUICK HELP!!!
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Step-by-step explanation:

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Gennadij [26K]

Answer:

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Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.

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If a 45º-45º-90º triangle has a hypotenuse of length 9, find the leg length.
iVinArrow [24]

Answer:

Step-by-step explanation:

x²+x²=9²

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9.

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7 0
3 years ago
When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)
AleksAgata [21]
First let's find the slope
Slope formula: 
\frac{y_2-y_1}{x_2-x_1} =slope
Given the two coordinates: 
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Plug these numbers into the formula
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In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer: 
<span>y-2=9/7(x-3)</span>
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