The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Step-by-step explanation:
The given is,
A lighthouse is 150 feet tall.
Cast a shadow of 30 feet.
Kyle is 6 feet tall.
Step:1
Ref the attachment,
From triangle ABC,
tan ∅ = ......................(1)
Where, Opp = AB = 150 feet
Adj = BC = 30 feet
Equation (1) becomes,
tan ∅ =
= 5
∅ = 5
∅ = 78.69°
∅ is same for both ABC and PQR triangle.
From triangle PQR,
tan ∅ = ......................(1)
Where, Opp = PQ = 6 feet
Adj = QR = x
Equation (1) becomes,
tan 78.96° =
5 =
x = = 1.2
Shadow length of Kyle, x = 1.2 feet
Result:
The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Answer:
<em>In the next year, Anthony worked 2,084 hours</em>
Step-by-step explanation:
Anthony worked 1,697 hours in 2010.
We also know Anthony worked 22.8% more hours than in 2010.
The problem requires to calculate how much did Anthony work in the next year.
It can be calculated as follows:
Take 22.8% of 1,697:
Now calculate by adding it to the original number of hours:
1,697 + 387 = 2,084 hours
In the next year, Anthony worked 2,084 hours
Answer:
a)
Step-by-step explanation:
hello,
because of the end behaviour the constant in should be positive so we have a) or d)
f(0)=-3 in both cases
for A) f(x)=
so f(x)=0 for
so the correct answer is A)
hope this helps
I would have each block be 1/6 of a yard
You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so
1/2 = (1/2)*(3/3) = 3/6
1/3 = (1/3)*(2/2) = 2/6
The diagram below might help if you're still stuck on why I picked 1/6.
