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Sauron [17]
2 years ago
11

Solve for x in a right triangle (show work)

Mathematics
1 answer:
Semmy [17]2 years ago
3 0

Answer:

x = 89. 98⁰

Step-by-step explanation:

tan(x) = 29/ 14

x = tan-¹ (29/14)

x = 89. 98⁰

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Please help me with this.
zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: hypotenuse^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}

Finally, you can find the tan (A) since:

tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

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2 years ago
Answer al 4 question and I’ll give your Brainly
miv72 [106K]

Answer:

C-C-B-D

Step-by-step explanation:

Hope this helps and look out for people trying to take your points!

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3 years ago
Which situation can be represented by 3s = 5s - 6 ?
grin007 [14]

Answer:

First one

Step-by-step explanation:

3s=5s-6

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Answer to this please!
lapo4ka [179]

according to mid point theorem:

Bf=1/2CE

=45

3 0
3 years ago
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