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IgorC [24]
4 years ago
8

Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 9 feet, then descen

ds 16 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Mathematics
2 answers:
torisob [31]4 years ago
6 0
19=9-16 would probably be something to go off of and begin your thought process with.
atroni [7]4 years ago
6 0
Answer:

Expression:

X = Xo + 9 feet  - 16 feet
X = - 19 feet + 9 feet - 16 feet
X = - 26 feet (26 feet below the sea level)

Explanation:

1) Call Xo the initial position, and X the variable to indicate the actual position

2) Use position 0 for sea level

3) use negative sign for positions under the sea level

4) use positive sign for positions above the sea level

5) Expression:

Final position = initial position + movements upward - movements downward

X = Xo + 9 feet - 16 feet

X = - 19 + 9 feet - 16 feet = - 26 feet
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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-inch tall fence post?
Mars2501 [29]

Answer:

The shadow length is 125 inches.

Step-by-step explanation:

The triangle that the sun's rays and the fence post form is shown in the figure.

From trigonometry we know that tan(30^o) is the ratio of the opposite <em>(72-in fence)</em> to the adjacent side L of the triangle <em>(the shadow length): </em>

<em />tan(30^o) = \dfrac{72 in}{L}<em />

since

<em />tan(30^o) = \dfrac{\sqrt{3} }{3}<em />

we have

<em />\dfrac{\sqrt{3} }{3}  = \dfrac{72 in}{L}<em />

solving for L we get:

L = 72\sqrt{3}\\\\\boxed{L = 124.71\: in.}

Hence, the length of the shadow to the nearest inch is 125 inches.

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