Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about feet. Question 2 How high does the drawbridge rise when x is 45?? Round the answer to the nearest hundredth. The drawbridge rises about feet. Question 3 How high does the drawbridge rise when x is 60? ? Round the answer to the nearest hundredth. The drawbridge rises about feet.

The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).

The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and 60°.

Using SOHCAHTOA principle,

Angle 30°

sin 30° = opposite/hypotenuse

sin 30° = height/284

cross multiply

height = 0.5 × 284

height = 142.00 ft

Angle 45°

sin 45° = height/284

height = 284 × 0.70710678118

height = 200.818325857

height ≈ 200. 82 ft

Angle 60°

sin 60 = height/284

cross multiply

height = 0.86602540378 × 284

height = 245.951214675

height ≈ 245.95 ft

psm22415 psm22415 · Answer 2 · 2022-01-12T08:18:44+01:00

''The drawbridge rise when x is 30 degrees is at 140 feet''.

''The drawbridge rise when x is 45 degrees is at 200.82 feet''.

''The drawbridge rise when x is 60 degrees is at 245.95 feet''.

Given that,

Each half of the drawbridge is about 284 feet long.

According to the question,

1. How high does the drawbridge rise when x is 30 degrees,

Then,

[tex]\rm Sinx = \dfrac{Perpndicular}{Hypotenuse}\\\\Sin30 = \dfrac{h}{280}\\\\h = sin30 \times 280\\\\h = 0.5 \times 280\\\\h = 140 \ feet[/tex]

The drawbridge rise when x is 30 degrees is at 140 feet.

2. How high does the drawbridge rise when x is 45 degrees,

Then,

[tex]\rm Sinx = \dfrac{Perpndicular}{Hypotenuse}\\\\Sin45 = \dfrac{h}{280}\\\\h = sin45\times 280\\\\h = 0.70\times 280\\\\h = 200.82\ feet\\\\[/tex]

The drawbridge rise when x is 45 degrees is at 200.82 feet.

3. How high does the drawbridge rise when x is 60 degrees,

Then,

[tex]\rm Sinx = \dfrac{Perpndicular}{Hypotenuse}\\\\Sin60 = \dfrac{h}{280}\\\\h = sin60 \times 280\\\\h = 0.86 \times 280\\\\h = 245.95 \ feet[/tex]

The drawbridge rise when x is 60 degrees is at 245.95 feet.

To know more about Trigonometry click the link given below.

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