The angle the beam makes with the pool surface is 29.72°.
Step-by-step explanation:
<u>Data:</u>
The spotlight and surface of a swimming pool makes a 90 degree angle.
Spotlight stand is 3m (Opposite)
Beam of light hits the water 7m away from the base of light (base)
Angle = ?
<u>Use sin to solve</u>
Formula:
Tan (Angle) = ![\frac{Opposite}{Base}](https://tex.z-dn.net/?f=%5Cfrac%7BOpposite%7D%7BBase%7D)
Solution:
Sin (Angle) = ![\frac{3}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B7%7D)
Angle =
(0.571)
Angle = 29.72°
Therefore, the angle the beam makes with the pool surface is 29.72°.
Keyword: Angle
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A triangle right triangle
Hundreds place and tenths place
Step-by-step explanation:
For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values
substituting (5,8) into 4x+y
4(5)+8
=20+8
=28
substituting(5,8) into x-y=3
5-8
= -3