Respuesta :

Answer:

y ≈ 358.3 ft

Step-by-step explanation:

The angle in the right side of the triangle = 28° ( alternate angle )

Using the tangent ratio in the right triangle to solve for y

tan28° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{350}{y}[/tex]

Multiply both sides by y

y × tan28° = 350 ( divide both sides by tan28° )

y = [tex]\frac{350}{tan28}[/tex] ≈ 658.3 ft

aguilerapablo03

y = 658.3ft. The value of the side y of the right triangle shown in the image is 658.3ft.

The key to solve this problem we have to use the trigonometric functions tan θ = opposite leg/adjacent leg

To find side y, where opposite leg = 350ft, adjacent leg = y, and θ = 28° by symmetry:

tan θ = opposite leg/adjacent leg

tan 28° = 350ft/y

Clear y:

y = 350ft/tan 28°

y = 658.254ft

Round to the nearest tenths y = 658.3ft

Otras preguntas