Mr. Smith's class took a short one question quiz. Dwight's calculation is shown below. When the class switched papers to peer gr
1 answer:
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Answer:
The magnitude of the resultant force is: 27.40 pounds
Step-by-step explanation:
Given
Required
The magnitude of the resultant vector
To do this, we apply cosine formula
This gives:
Take square roots of both sides
Answer:
∴ opposite side = √108
Step-by-step explanation:
Here hypotenuse = 12 ft
It is a right angled triangle.
here triangle ABC in which ∠ C = 60°
∠B = 90°
so ∠A = 180° -( 90 +60)
= 180 - 150
= 30°
cos 60° = adjacent side ÷ hypotenuse
= x ÷ 12
=
12 = 2 x
∴ x = 6
adjacent side = 6
hypotenuse ² = adjacent side² + opposite side²
12² = 6² + opposite side²
144 - 36 = opposite side ²
108 = opposite side²
∴ opposite side = √108