Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. Which trinomial did she factor?
2 answers:
You might be interested in
Answer:
y = 5.6
Step-by-step explanation:
Use Sine
Sine =
Sine 45 =
Sine of 18 is 0.309
0.309 =
Multiply 18 on both sides
0.309 x 18 = x 18
5.562 = y
Round to the nearest tenth:
5.562 = 5.6
Answer:
25.61 feet
Step-by-step explanation:
First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.
Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.
One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have
sin(80°) = opposite / 26 feet
multiply both sides by 26 feet
sin(80°) * 26 feet = opposite
= 25.61 feet as the height of the wall the ladder reaches
