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Nimfa-mama [501]
3 years ago
15

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer: tan(E)=1.70

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You must observe the figure given in the exercise.

You can notice that the given triangle EFG is a Right triangle (Right triangles are defined as those triangles that have an angle that measures 90 degrees).

So, you can identify in the figure that:

\alpha=E\\\\ opposite=FG=56\\\\adjacent=EF=33

So, knowing these values, you can substitute them into  tan\alpha =\frac{opposite}{adjacent} and then you must evaluate (Remember to round the result to the nearest hundreth).

Therefore, through this procedure you get:

 tan(E)=\frac{56}{33}\\\\tan(E)=1.70

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Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

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\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

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\implies tan(45-12)^{\circ}=\frac{x}{x+95}

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\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

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