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Arlecino [84]
3 years ago
14

Someone please help me with this question. I've been stuck on it for almost 40 minutes. Here's the question. Lauren was standing

on the lifeguard stand on the beach trying to find her sister. She spotted her at the water's edge at an angle of depression of 12 degrees. If the stand is 5 yards above the sand, how far down the beach is Lauren's sister? Round your answer to the nearest yard.

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

24 yd

Step-by-step explanation:

Treat x as the desired quantity.  This x is the side of the triangle adjacent to the lower 12 degree angle.  The side opposite this angle is 5 yds.  Using the definition of the tangent,

tan 12 degrees = opp / adj = 5 yds / x

Then x = (5 yds) / (tan 12 degrees), or x = (5 yds) / 0.213

Then x =  24 yds (to the nearest yd)

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g100num [7]

Answer:

2 miles is your answer hope this helps!!!!!!

Step-by-step explanation:


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3 years ago
Read 2 more answers
Solve liner equation for they variable<br> 3x-5(x+6)=-2x-2(5+10)
Dvinal [7]

Answer:

all numbers

Step-by-step explanation:

3x - 5(x + 6) = -2x -2(5 + 10)

Distribute on both sides.

3x - 5x - 30 = -2x - 10 - 20

Add 2x to both sides.

-2x - 30 = -2x - 30

-30 = -30

Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.

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4 0
2 years ago
What is ((-2)?<br> -1<br> 1<br> 3
hram777 [196]

Answer:

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Step-by-step explanation:

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3 years ago
Solve the equation for the variable.
Flura [38]
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3 0
3 years ago
Complete the tables of values.
Vladimir [108]

Answer:

a=1\\b=\frac{1}{16}\\\\c=\frac{1}{256}\\\\d=1\\e=\frac{4}{9}\\\\f=\frac{16}{81}

Step-by-step explanation:

For the orange table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function f(x)=4^{-x}, then:

For a:

x=0

f(0)=4^0=1

For b:

x=2

f(x)=4^{-2}=\frac{1}{16}

For c:

x=4

f(x)=4^{-4}=\frac{1}{256}

For the blue table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function g(x)=(\frac{2}{3})^x, then:

For d:

x=0

g(x)=(\frac{2}{3})^0=1

For e:

x=2

g(x)=(\frac{2}{3})^2=\frac{4}{9}

For f:

x=4

g(x)=(\frac{2}{3})^4=\frac{16}{81}

3 0
3 years ago
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