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3 years ago

What is the length of BC in the right triangle below?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

F. 82

Step-by-step explanation:

To calculate the length of BC, Pythagoras theorem will be used.

It says, Hypotenuse^2 = Perpendicular^2 + Base^2

In our case, Perpendicular = AB = 18 and Base = AC = 80

therefore,

Hypotenuse^2 = 18^2 + 80^2 = 6724

Hypotenuse = BC = $\sqrt{6724}$ = 82

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3 years ago

Select the correct answer. Simplify the expression below. 4x(3x − 7) − 19x2 A. -7x2 − 7 B. -35x2 C. -7x2 − 28x D. -31x2 − 28x

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Answer:

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3 years ago

From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°

Svetlanka [38]

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

<u>Now, from figure</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

I.e TanФ = $\dfrac{\textrm AB}{\textrm OA}$

Or, TanФ = $\dfrac{\textrm h}{\textrm x}$

Or, Tan 70° = $\dfrac{\textrm 50 meters}{\textrm x meters}$

Or, 2.74 = $\dfrac{\textrm 50}{\textrm x}$

∴ x = $\dfrac{\textrm 50}{\textrm 2.74}$

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

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3 years ago

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Answer:

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Step-by-step explanation:

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