Question

Please help me.......​

Answer 1

Explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Let's use CAH 1st , on the Lenovo building, b/c we have they Hypotenuse (Hyp) and an angle and we want to know the other side of the Lenovo building

Cos(30) = x/294

294*Cos(30) = x

254.611 = x

Sin(30) = y / 294

294*Sin(30) = y

147 = y

perimeter = 147+254.611+294

perimeter Lenovo = 695.611 feet

For Asus building

hyp = sqrt [ ( 144.5*
`√(2)`)^2 + 144.5*
`√(2)`)^2 )]

hyp = 289

perimeter = 289+144.5*
`√(2)`+144.5*
`√(2)`

perimeter Asus = 697.7077

The difference of the two buildings is

697.7077 - 695.611 =2.09671 feet

the difference is 2.10 feet ( rounded to nearest 100th)