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Alika [10]
3 years ago
9

If we wanted to measure the capacity of the waterfall and how deep it was, what unit of measure would we use?

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
Probably dept and lenght
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Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,
irakobra [83]

<em><u>Question:</u></em>

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41° How tall is the lighthouse?

<em><u>Answer:</u></em>

The height of lighthouse is 52.2 yards

<em><u>Solution:</u></em>

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the  ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

tan(\angle ACB) = \frac{Perpendicular}{Base}

Here Base is BC and perpendicular is AB

\tan 41^{\circ}=\frac{A B}{B C}

Substituting the values,

\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}

Thus the height of lighthouse is 52.2 yards

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3 years ago
What is the final amount if 1235 is increased by 4% followed by a 4% decrease?
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Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

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Decreasing by 4%:  we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

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3 years ago
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A a numerical expression
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He can eat about 3-4 hot dogs
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