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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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8 0
3 years ago
Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?
Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you know that:

\alpha =C

Since triangle ABC is similar to triangle DEF:

\angle C=\angle F

Let's begin with the triangle ABC.

You can identify that:

opposite=AB\\hypotenuse=AC

Then, substituing values, you get:

sinC=\frac{AB}{AC}

In triangle DEF, you know that:

opposite=DE\\hypotenuse=DF

So, substituing values, you get:

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4 0
3 years ago
27.5+3.094+4.86 plz show all steps
marshall27 [118]
27.5 + 3.094 = 30.594
30.594 + 4.86 = 35.454

your answer would be 35.454



hope this helped
3 0
3 years ago
Read 2 more answers
A town's population increased from 14,523 to 16,489.
Rasek [7]

Answer:

14 percent

Step-by-step explanation:

6 0
3 years ago
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<img src="https://tex.z-dn.net/?f=6%20%3C%20x%20%2B%205%20%20%5Cleqslant%20%2011" id="TexFormula1" title="6 &lt; x + 5 \leqslan
trapecia [35]

6 < x+5\leq11\qquad|\text{subtract 5 from every sides}\\\\1 < x\leq6\to x\in(1,\ 6]

8 0
3 years ago
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