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STALIN [3.7K]
3 years ago
9

Hey need some help with this problem, its trigonometry with right triangles using SohCahToa if you can give me a hand it would b

e greatly appreciated

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

tan A = \frac{oppositeside}{adjacent side}.

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .

0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.

So x measures 30.9892 units.

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