SOVing Problems With Right Triangles: Mastery Test
1 answer:
Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.
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Answer:
? = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
?² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
? = = 13