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Kamila [148]
3 years ago
6

A tower that is 154 ft tall casts a shadow 166 ft long. Find the angle of elevation of the sun to the nearest degree.

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
It would be best if you draw or sketch the system described above. You will see that a right triangle would be formed where the height of the triangle is equal to the height of the tower and the base would be equal to the shadow casted by the tower. We can use a trigonometric function for this.

tan (angle) = height / base
angle = tan^-1 (height /base )
angle = tan^-1 (154 /166 )
angle = 42.85 degrees
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shusha [124]
The answer should be C. 3
6 0
3 years ago
Pls help i need this asap
Zielflug [23.3K]

Answer:

Let x = # of commercials

      y = # of movies

<u>System of Equations:</u>

x + y = 90

40x + 110y = 500

Step-by-step explanation:

We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.

8 0
2 years ago
Need help I don’t know the answer to this.
Bond [772]

Answer:

what grade is this

Step-by-step explanation:

I'm very confused is this algebra?

8 0
3 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
.
Tomtit [17]

Answer:

I dont know how to read hindi can u pls translate it into English

5 0
3 years ago
Read 2 more answers
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