Respuesta :

imlittlestar

Answer:

Area of triangle = 73.1 m²

Step-by-step explanation:

Points to remember

Area of triangle = bh/2

Where b - base and h - height

To find the height of triangle

Let 'h' be the height of triangle

Sin 35 = h/17

h = 17 * Sin 35

 = 17 * 0.5736

 = 9.75 m

To find the area of triangle

Here b = 15 m and h = 9.75

Area = bh/2

 = (15 * 9.75)/2

 = 73.125 ≈73.1 m²

luisejr77

Answer:

[tex]A = 73.1\ m^2[/tex]

Step-by-step explanation:

We calculate the height of the triangle using the function [tex]sin(\theta)[/tex]

By definition:

[tex]sin(\theta) =\frac{h}{hypotenuse}[/tex]

Where h is the height of the triangle

In this case we have that:

[tex]\theta=35\°[/tex]

[tex]hypotenuse=17[/tex]

Then:

[tex]sin(35) =\frac{h}{17}[/tex]

[tex]h=sin(35)*17\\\\\\h =9.75[/tex]

Then the area of a triangle is calculated as:

[tex]A = 0.5 * b * h[/tex]

Where b is the length of the base of the triangle and h is its height

In this case

[tex]b=15[/tex]

So

[tex]A = 0.5 *15*9.75[/tex]

[tex]A = 73.1\ m^2[/tex]