Mathematics: 1.) the trig ratio needed to solve the problem and how that it is the correct trig function. 2.) a step-by-step solution rounded to the nearest tenth p.s the bottom number is 100ft

1.) the trig ratio needed to solve the problem and

angel13sigala

14.02.2022

In every right triangle, you have the following identites:

$o = h\sin(\alpha),\quad a = h\cos(\alpha)$

Where $\alpha$ is one of the acute angles, is the leg opposite to the angle, is the leg adjacent to the angle and is the hypothenuse.

In this case, we know that the adjacent leg is 100ft long, so we can use the second formula to compute the hypothenuse:

$100 = h\cos(37) \implies h = \dfrac{100}{\cos(37)}$

Now let's use the first equation to compute the length of the opposite leg, i.e. the one you're interested in:

$o = h\sin(\alpha) = \dfrac{100}{\cos(37)}\sin(37)$

Note that the ratio between the sine and the cosine is the tangent:

$o = 100\tan(37)$

If you ask for the tangent of 37 to a calculator, you get

$\tan(37) \approx 0.753554050\ldots$

So, you have

$100\tan(37) \approx 75.3554050\ldots$

Which rounded to the nearest tenth is 75.36

0,0(0 оценок)

ariqueen

20.05.2022

Hi!

Assuming the 9in is the radius, we would multiply it by 2, or add it to itself. We then get 18 in.

Hope this helps!

0,0(0 оценок)