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Select the correct answer.
Tobias wants to add a wooden trim to a triangular window with the dimensions shown.
60°
6 ft
30°
What is the approximate length of wood needed to trim the window?
Ο Α.
14.2 ft
ОВ.
15.4 ft
OC. 13.2 ft
OD.
14.5 ft

Select the correct answer Tobias wants to add a wooden trim to a triangular window with the dimensions shown 60 6 ft 30 What is the approximate length of wood n class=

Respuesta :

akposevictor

Using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

Trigonometry Ratios

The length of the wood needed to trim the window is the perimeter of the triangular shape shown in the image.

To find the perimeter, use the trigonometry ratio, to find the other two legs of the right triangle.

Thus:

Reference angle = 30°

Hypotenuse = 6 ft

Opposite = ?

Apply SOH:

sin 30 = opp/hyp

sin 30 = opp/6

Opp. = sin 30 × 6

Opp. = 3 ft

Find the other leg:

Reference angle = 30°

Hypotenuse = 6 ft

Adjacent = ?

Apply CAH:

cos 30 = adj/hyp

cos 30 = adj/6

Adj. = cos 30 × 6

Adj. = 5.2 ft

Perimeter of the triangle = 5.2 + 3 + 6 = 14.2 ft.

therefore, using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.

Learn more about trigonometry ratio on:

https://brainly.com/question/10417664

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