Practice with Conversions
1 answer:
Answer:
1) Newbury Park → The distance is accurate.
2) Thousand Oaks → The distance is not accurate.
3) Los Angeles → The distance is not accurate.
Step-by-step explanation:
It is important to remember that:
Knowing this, you can make the corresponding conversions:
1) Newbury Park
10 miles to kilometers:
The distance shown in that California highway sign is accurate.
2) Thousand Oaks
13 miles to kilometers:
The distance shown in that California highway sign is not accurate.
3) Los Angeles
55 miles to kilometers:
The distance shown in that California highway sign is not accurate.
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Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
