In JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?
2 answers:
The <em><u>correct answers</u></em> are:
KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL
Explanation:
This is a 30-60-90 right triangle. This type of triangle has a special relationship among the sides. Let the smallest side, across from the 30° angle, be t. This means JL = t.
The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.
The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.
Comparing JK to KL, we have
The t on top and bottom cancel out, leaving us with the ratio (√3)/2. This means that JK = ((√3)/2)KL.
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Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,
where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation
A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.
Hence, The beam hit dolphin at 5 feet.
