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Find the area of the given triangle. Round your answer to the nearest tenth.

A right triangle with a base of 36. The angle of elevation is 25 degrees.

Group of answer choices

302.2 units squared

1 comma 389.6 units squared

766.6 units squared

Find The Area Of The Given Triangle Round Your Answer To The Nearest Tenth A Right Triangle With A Base Of 36 The Angle Of Elevation Is 25 Degrees Group Of Answ class=

Sagot :

Using relations in a right triangle, it is found that it's area is of 302.2 units squared.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:

[tex]\tan{25^\circ} = \frac{x}{36}[/tex]

[tex]x = 36\tan{25^\circ}[/tex]

x = 16.79.

What is the area of a right triangle?

It is given by half the multiplication of it's sides, hence:

A = 0.5 x 16.79 x 36 = 302.2 units squared.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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