How does sin 30 compare to sin -30

Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

Answer:

c. sin 30 is positive and sin -30 is negative

Step-by-step explanation:

Picture the unit circle (which is attached). Sine is like the y-coordinate. And -30 and 30 on the unit circle both form equally-sized triangles, but -30 is underneath the x-axis, so it has a negative y-coordinate. 30 is above the x-axis, so it has a positive y-coordinate.

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

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The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

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The distance between the foot of ladder and the wall will be the base

So,

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Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$