We first determine the height that the top of the ladder will reach given that the angle to be made is no greater than 75°. In the right triangle formed, the hypotenuse is 12. The trigonometric function that is derived from the scenario is,
x = (sin 75°)(12 ft) = 11.59 ft
Thus, the highest point that the ladder will reach should only be approximately equal to 11.59 ft.
<h3>
Answer: C) Not congruent</h3>
We have 2 pairs of congruent angles, so we can prove the triangles are similar triangles (using the AA similarity theorem). But we don't have enough information to prove them to be congruent. We would need at least one pair of sides to be congruent so we could use either AAS or ASA.
For instance, if we knew that AT = AP, then we would use AAS. If we knew that HT = MP, then we would use ASA instead. However, we don't have either bit of information like this. The triangles may or may not be congruent. We simply don't have enough information to say either way. We can't definitively say they are congruent, so we just lean toward "not congruent".
Answer: A
<u>Step-by-step explanation:</u>
f(x) = -x² - x + 6
= -(x² + x - 6)
= 1(x + 3)(x - 2)
So the zeros are: x = -3 and x = 2
We can stop here because there is only one graph that contains those x-intercepts (the first graph)
