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Viefleur [7K]
3 years ago
11

Item 5 A spotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. The beam of light makes an angle

of 40° with the ground. What is the distance from the spotlight to the base of the tree, rounded to the nearest meter? 10 m 14 m 16 m 19 m PreviousFinish

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

\theta=40^{\circ}

We have to find the distance from the spotlight to the base of the tree.

We know that

tan\theta=\frac{perpendicular\;side}{base}

\frac{AB}{BC}=tan40

\frac{12}{BC}=tan40

BC=\frac{12}{tan40}=14.3\approx 14

Hence, the distance from the spotlight to the base of the tree=14 m

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The length of the base of a scalene triangle is 22 meters and the height is 14 meters. Find the area of the scalene triangle
Nezavi [6.7K]

Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

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3 years ago
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AlladinOne [14]

Answer:

67

Step-by-step explanation:

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3 years ago
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The probability for both happening is 
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5 0
3 years ago
1.12cm=______mm <br><br> 2.124mm=_______cm<br><br> 3.2cm=________mm<br><br> 4.7mm=_______cm
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Answer:

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Elsie loves to garden the width of her current garden is half the length. Elsie wants to increase both the width and the length
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Answer:

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Step-by-step explanation:

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