Respuesta :

Answer:

x ≈ 3.7 m

Step-by-step explanation:

Use the right triangle on the left to find the height h , using the sine ratio

sin39° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{7}[/tex] ( multiply both sides by 7 )

7 × sin39° = h , then

h = 4.4

Using the tangent ration on the right side right triangle, then

tan50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex] = [tex]\frac{4.4}{x}[/tex] ( multiply both sides by x )

x × tan50° = 4.4 ( divide both sides by tan50° )

x = [tex]\frac{4.4}{tan50}[/tex] ≈ 3.7 m ( to 1 dec. place )

The triangle has length of value is 3.7meters.

What is triangle?

A triangle is "closed, 2- dimensional shape with 3 sides, 3 interior angles and  three vertices".

According to the question,

To find height (h), use right angle triangle on the left side.

sin39° = [tex]\frac{opposite}{Hypotenuse}[/tex] = [tex]\frac{h}7}[/tex]

7 sin39° = h

height (h) = 4.4 meters.

To find the value 'x', use right angle triangle on the right side.

tan 50° = [tex]\frac{opposite}{adjacent}[/tex]  = [tex]\frac{7}{x}[/tex].

x tan 50° = 7

x = [tex]\frac{7}{tan50}[/tex] = 3.7 meters.

Hence, the triangle has length of value is 3.7meters.

Learn more about Triangle here

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