Hi there....
-6m - 8 = 24
-6m = 24 + 8
-6m = 32
m = 32/-6
m = -16/3
or if they ask you for decimal, it will be m= -5.33
The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.
The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-
![tan\theta=\dfrac{P}{B}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cdfrac%7BP%7D%7BB%7D)
![tan\theta=\dfrac{70}{230}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cdfrac%7B70%7D%7B230%7D)
![\theta=tan^{-1} (\dfrac{70}{230})](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%20%28%5Cdfrac%7B70%7D%7B230%7D%29)
= tan
(0.3043)
= 16.9
Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
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Answer:
1,800, 19
Step-by-step explanation:
102,619÷57=1800 (nearest one)
102,619-1800×57=19
9514 1404 393
Answer:
13.3 m
Step-by-step explanation:
Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...
A = LW
83 = (d -2)(d -6) = d² -8d +12
71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way
d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square
(d -4)² = 87 . . . . . . . write as a square
d -4 = √87 . . . . . . . positive square root
d = 4 +√87 ≈ 13.3 . . . . add 4
The diagonal is about 13.3 meters long.
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<em>Additional comment</em>
If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. <em>The geometry described here is impossible</em>. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².
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