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Anna71 [15]
3 years ago
6

While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o

f the lighthouse is 48°
What can you conclude about the height of the lighthouse, with respect to Jacob's distance from the lighthouse? Explain your answer.
Mathematics
1 answer:
Vlada [557]3 years ago
7 0

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

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a_sh-v [17]
An irrational number is a decimal that never ends and never repeats. so no inless the last digit has a line over it
5 0
3 years ago
An airplane flies with a constant speed of 620 miles per hour. How long will it take to
LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0
2 years ago
In the Jefferson Middle School chorus, 60% of the members are girls. If there are 45 girls in chorus what is the total number of
PtichkaEL [24]
There are 75 chorus members.
4 0
3 years ago
Triangle EFG is proportional to triangle EHI. The length of side EF is 5 in., the length of side FH is 3 in., and the length of
SVETLANKA909090 [29]

Answer:

I don't see the file with it

Step-by-step explanation:

5 0
2 years ago
Number four please help. Whatever helps gets a Brainly award
pashok25 [27]
29.99 + 35.00 + 3.25 + 3.25 = 71.49

125.00 - 71.49 = 53.51

53.51 ÷ 22.50 = 2.4 = 2

She can buy 2 pairs of shoes.

Hope this helps!!
~Kiwi
8 0
3 years ago
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