Mathematics: Asap - a right triangle has an angle of 38 degrees and an opposite leg of 12 yards. solve the right triangle. label each of your solutions. round to two decimals.

Asap - a right triangle has an angle of 38 degrees

Ответ:

wweghorst8275

18.01.2022

Mathematics

ANSWER

See below

EXPLANATION

To solve the triangle means to find all sides and angles.

The right triangle has an angle of 38 degrees and an opposite leg of 12 yards

The third angle is 90-38=52°

We use the sine ratio to find the hypotenuse, h.

$\sin(38 \degree) = \frac{opposite}{hypotenuse}$

$\sin(38 \degree) = \frac{12}{h}$

$h = \frac{12}{ \sin(38) }$

h = 19.49

The hypotenuse is 19.49 yards to the nearest hundredth.

We can find the adjacent leg using the cosine ratio.

$\cos(38) = \frac{adjacent}{hypotenuse}$

$\cos(38) = \frac{a}{19.49}$

$a = 19.49 \cos(39)$

a = 15.36

to the nearest hundredth.

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Ответ:

Senica

12.09.2021

Mathematics

16.97 ft

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Side B = 21 ft

Side c = 27 ft

As we know, formula for right triangle is as follows,

$a^{2} + b^{2} = c^{2}$

$a^{2} = c^{2} - b^{2}$

So, by putting the value in the formula, we get,

$a^{2} = 27^{2} - 21^{2}$

$a^{2}$ = 729 - 441

$a^{2}$ = 288

a = 16.97 ft

Hence, the length of the side for the right triangle is 16.97ft.

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Asap
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a right triangle has an angle of 38 degrees and an opposite leg of 12 yards. solve the right triangle. label each of your solutions. round to two decimals.

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