NO LINKS!!! Part 12 Please help me with this problem

9.72 ft (nearest hundredth)

Step-by-step explanation:

First, calculate the horizontal distance by using the cosine trig ratio:

Given:

Use the cosine trig ratio to calculate the new hypotenuse:

⇒ h = 9.723036846...

⇒ h = 9.72 ft (nearest hundredth)

  14.86 feet

Step-by-step explanation:

We assume the new ramp arrives at the same height as the old one. That height is found using the sine function:

  h = 10·sin(18°)

We want to find the ramp length x that will give the same height with an angle of 12°:

  h = x·sin(12°)

Substituting for h, we get ...

  10·sin(18°) = x·sin(12°)

  x = 10·sin(18°)/sin(12°) ≈ 14.863 . . . . feet

The new ramp is about 14.86 feet long.

_____

Additional comment

The sine relation is ...

  Sin = Opposite/Hypotenuse

In this use, we rearrange it to ...

  Opposite = Hypotenuse × Sin

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x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2