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enyata [817]
3 years ago
13

What is the distance from the spotlight to be base of the tree, rounded to the nearest meter?

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0
Tan 40 = 12/x   where x is distance from light to base of the tree

x = 12 / tan 40 =  14.3

14 m  to nearest meter
Luda [366]3 years ago
6 0
Answer:
14

Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find

Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m

Hope this helps :)
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What is the equation of a line that contains the points (2,-2) and (0, -2)?
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Answer:

y = - 2

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The points (2, - 2) and (0, - 2) have the same y- coordinate and therefore lie on a horizontal line with equation

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5 0
4 years ago
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devlian [24]

Answer:

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Step-by-step explanation:

To find angles 3 &4 and 2 &1, you subtract the measurement given in each intersection from 180 (all straight lines are 180) to find the other angle measurements. To find 5 I used the 4th angle and the 2nd angle to find the missing number out of 180 since all of the angles in a triangle have a sum of 180°. The missing angle was 22. You can use the angle measurement of #5 to find 6 like how I mentioned before about all straight lines equaling 180°. If this all sounds like mumbo-jumbo I can elaborate a little more in the comment section!

7 0
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. A man bought a car for $60 320. After using it for 2 years he decides to trade in the car. The company estimated a depreciatio
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Answer:

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