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lidiya [134]
2 years ago
15

A forest ranger in a 110 ft observation tower sees a fire. The angle of depression is 12 degrees. To the nearest foot, what is t

he distance from the tower to the fire?
Mathematics
1 answer:
Iteru [2.4K]2 years ago
7 0

The distance from the tower to the fire is 529.10feet

<h3>Angle of depression</h3>

The distance from the tower to the fire is the hypotenuse of the resulting triangle

Given the following

  • Height of the tower = 110ft

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 12 = 110/H

H = 110/sin12

H = 110/0.2079

H = 529.10

Hence the distance from the tower to the fire is 529.10feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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Name an object that could be about the same length as each measurement. A. 4 inches b. 6 feet c. 1 meter d. 5 yards a. 6 centime
Nastasia [14]

Answer and Step-by-step explanation:

A. 4 inches: An object that's 4 inches is about 2.54 centimeters or 25.4 millimeters. An business envelope is typically about 4 inches by 9 inches for example.

B. 6 feet: A 6 feet object is quite big when compared to just 4 inches. A feet is 12 inches hence 6 feet is 72 inches. A very tall human being is typically 6 feet.

C. 1 meter: A meter is about 39.37 inches hence it is quite big when compared to a feet. A baseball bat is one meter long.

D. 5 yards: A yard is 36 inches hence a bit smaller than a meter. A trampoline could be 5 yards for example

E. 6 centimeters: one centimeter is 0.394 inches hence smaller than an inch. A 6 centimeters object for example is pencil for writing.

F. 2 millimeters: a millimeter is 0.0394 inches hence smaller than a centimeter and an inch. An orange seed could be 2 millimeters long

G. 3 kilometers: one kilometer is 39370.079 inches hence a kilometer is bigger than inches, meter, feet, yards, centimeters, millimeters. A very big tree could be 3 kilometers long

5 0
3 years ago
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. How much will he e
Snezhnost [94]

Answer:

Step-by-step explanation:

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be

8.2x + 7.7y

Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is

(8.2 × 3) + (7.7 × 7)

= 24.8 + 53.9

= $78.7

4 0
3 years ago
the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side
Valentin [98]
Correct answer:
15

Explanation:
This problem can be solved by applying the area formula:



Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.

Thus the solution is:

60=8×diagonalB2

60×2=8×diagonalB

120=8(diagonalB)

diagonalB=1208=15
6 0
3 years ago
Please help me with number 10
Serggg [28]
Water treaded is the biggest and Springtail is the smallest.
Hope it helped
8 0
3 years ago
Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.
Ksju [112]

Answer:

Correct

Step-by-step explanation:

The given expression is : 4n - 2

Chris says that the expression (4n-2) can be written as 2(2n - 1).

Taking 2 common on the given expression.

(4n-2) = 2(2n-1)

Hence, he has wrote it in a correct way.

3 0
3 years ago
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