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3 years ago

I need some help pls

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

4 0

Answer is A, basically using the Pythagorean theorem but in a slightly different way, should still get you the same answer.

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3 years ago

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Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ$

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)$

Now, let us have a look at another right angled triangle ABD:

Let us consider $\triangle ABC$ :

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side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

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Correct answer is 54.82 ft.

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Im no genius or sure if its right, but I would definetly go with (12,4)

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