Question

Find y. Round to the nearest tenth.
Please help me!!!

Answer 1

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

Answer 2

y ≈ 358.3 ft

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° =
`(opposite)/(adjacent)` =
`(350)/(y)`

Multiply both sides by y

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

y =
`(350)/(tan28)` ≈ 658.3 ft