What's the answer to this
1 answer:
Answer:
AC ≈ 17.3 , BC ≈ 5.3
Step-by-step explanation:
using the tangent ratio in right triangle ACD
tan51° = =
=
( multiply both sides by 14 )
14 × tan51° = AC , then
AC ≈ 17.3 ( to the nearest tenth )
using the cosine ratio in right triangle ABC
cos72° = =
=
( multiply both sides by 17.3 )
17.3 × cos72° = BC , then
BC ≈ 5.3 ( to the nearest tenth )
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Answer: The answer is (C) (4,1).
Step-by-step explanation: Given points are A(0,3), B(-1,4) and C(2,-1). Obviously, these points will form a triangle. We need to find the co-ordinates of the point B', which is formed after rotating the figure counter-clockwise 90 degrees.
The point B(-1,4) lies in the second quadrant. After rotating 90 degrees counter-clockwise, the this point will lie in the first quadrant. So, both the x-coordinate and y-coordinate will be positive. Also, the two coordinates will exchange. Please see the attached figure.
Thus, the coordinates of point B' are (4,1).
Hence, (C) is the correct option.
