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) =
Solution:
Sin (Angle) =
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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<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;
Substituting p = 6, q = 4, r = 5, we get;
Simplifying, we get;
Dividing, we get;
Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.