Question

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

Answer 1

Explanation:

Use SOH-CAH-TOA

Sin(25º) = x/10 (x being the height of the triangle)

x= Sin (25º) (10)

x = 4.23

Now for the base:

Cos (25º) = x/10

x = cos(25º)(10)

x = 9.06

Now solve for the area using 1/2bh

19.2 in^2

The answer you have selected is correct :)

Answer 2

A = 19 in^2

Explanation:

We can find the area of a triangle by

A = 1/2 bh

Where b is the base

We can find the base of the triangle by

cos 25 = b/10 (adj/hyp)

10 cos25 =b

and h is the height

We can find the heigth by

sin 25 = h/10 (opp/ hyp)

10 sin25 = h

The area is

A = 1/2 ( 10 cos25) *10 sin 25

A =19.15111108

Rounding to the nearest whole number

A = 19 in^2