PLEASE HELP!! i will give brainliest!

Mathematics

1 answer:

Svetllana [295]2 years ago

3 0

21.

The angle has an opposite side of value 11 and an adjacent side of value x

We can then apply the formula tan 38° = opposite / adjacent

this gives us tan(38) = 11 / x

11/x = tan(38)

11 = x × tan(38)

x = 11 / tan(38)

x ≈ 14.1 (rounded to the nearest tenth)

And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :

H² = 14,1² + 11²

H² = 198,81 + 121

H = √(319,81)

H ≈ 17,9

Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45

You apply the same thing for 22 and 23

For 22 you use tan 55 = 15 / x

For 23 you use tan 23 = 7 / x

Good Luck !

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