The height of the antenna on the roof of the local building is approximately 8 meters.
The situation forms a right angle triangle.
<h3>Properties of a right angle triangle:</h3>
- One of its angles is equals to 90 degrees
- The sides of the triangles can be calculated using Pythagoras theorem.
Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 40° = opposite / adjacent
tan 40° = x / 25
where
x = the height of the building and the radio antenna from the eye point.
x = 25 tan 40
x = 25 × 0.83909963117
x = 20.9774907794 meters
Let's find the height of the building from his eye point.
tan 28° = y / 25
where
y = height of the building from his eye point
y = 25 × tan 28°
y = 25 × 0.53170943166
y = 13.2927357915 meters
Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786
Height of the antenna ≈ 8 meters
learn more on elevation here: brainly.com/question/17582385?referrer=searchResults
Answer:
the slope is 4/3
Step-by-step explanation:
use the formula:
m=
where x1 and y1 can be any point and x2 and y2 can be any point.
I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.
which is 8/6 or 4/3
Hey there :)
Let us first translate words into mathematics!
Sum of 2 numbers is 52
x + y = 52
Difference of 2 numbers is 9
x - y = 9
(eq.1) x + y = 52
(eq.2) x - y = 9
Add both equations : x + y = 52
+ x - y = 9
2x = 61
x = 30.5
We now have the value of x, substitute into eithe formulae to find y
x - y = 9 , 30.5 - y = 9 , 30.5 - 9 = y , 21.5 = y
x + y = 52 , 30.5 + y = 52 , 52 - 30.5 = y , 21.5 = y
x = 30.5y = 21.5
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4. 14 hours gives her more than $100
Chlorine atom has 7 electrons in their valence shell