Question

If someone could answer this problem and explain how to do it that would be a HUGE help thanks-

Answer 1

The answer is 19 inches. Hope it helps.

Answer 2

Answer:

The answer to your question is 19 in²

Step-by-step explanation:

Data

angle = Ф = 25°

hypotenuse = 10 in

Area = ?

Process

1.- Calculate the long and short legs of this triangle using trigonometric functions.

        sin Ф = Opposite side / hypotenuse

-Solve for Opposite side

        Opposite side = hypotenuse x sin Ф

-Substitution

        Opposite side = 10 x sin 25

-Result

        Opposite side = 4.22 in = short leg (height)

        cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

        Adjacent side = hypotenuse x cosФ

-Substitution

        Adjacent side = 10 x cos 25

-Result

        Adjacent side = 9.06 in = long leg = base

2.- Calculate the area

Area = base x height / 2

-Substitution

Area = 9.06 x 4.22 / 2

-Result

Area = 19.12 in² ≈ 19 in²