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

x = 7.3

Step-by-step explanation:

We're going to use the formula for the area of a triangle:

Area = 1/2 x base x height

We can see that the height of the triangle is 10, but we don't know what the base length is.

We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.

We're using the height and the base, which are the opposite (O) and adjacent  (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).

The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.

tan (54°) = 10/x

Multiply both sides of the equation by x.

x tan (54°) = 10

Divide both sides of the equation by tan(54°).

x = 10/tan(54°)

Use your calculator to solve for x.

x = 7.265

To the nearest tenth, x = 7.3

36 is the final answer! : )

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

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