Answer:
68.2 feet
Step-by-step explanation:
The angle of elevation, the one from the ground up, is given as 33 degrees. If Kari is 105 feet from the tree, that serves as the measure of the base of the right triangle. We are looking for the height of the tree, which is the side opposite the angle. What we have, then, is the angle (33 degrees), the side adjacent to the angle (105 ft), and we are looking for the side opposite the angle (x). What we need to use is the tangent ratio, which relates the side opposite the angle to the side adjacent to the angle, as follows:
To solve for x we multiply both sides of the equation by 105 to get 105tan33°=x. Plug that into your calculator in degree mode to get 68.18779729. Round from there to get 68.2 feet.
Answer:
1 team............
Step-by-step explanation:
There is only 16 people and there has to be teams of 11 people. The remainder of 16/11 is 1 so.......only one soccer team can be formed.
Hope that helps and maybe earns a brainliest! :)
Are you are saying that the absolute value of negative six times x equals 54? If you are, then the answer is x equals positive or negative 9. To solve, set up two equations, because it is an absolute value question. In the first equation, write -6x=54. Divide by -6 to get -9. That is just one of two answers. In the second equation, write 6x=54. Divide 54 by 6 to get positive 9. Your answer is positive and negative 9.
Answer:
Triangles PRQ and MRN are not similar.
Step-by-step explanation:
The two triangles are PRQ and MRN.
It is given that both the triangles have ∠R = 90° as the common angle.
Now, we check whether the ratios of the sides are equal or not.
i.e. To check if
Since, we have the lengths,
PM = 8, MR = 10. Thus, PR = 8 + 10 = 18
QN = 14, NR = 7. Thus, QR = 14 + 7 = 21
So, we get,
implies
implies 1.8 = 3, which is not true.
So, the ratio of the sides are not equal.
Hence, we get that the triangle PRQ and MRN are not similar.
Answer:
20%
Step-by-step explanation:
To change a fraction to a percentage , multiply by 100%
× 100%
= 0.2 × 100%
= 20%