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Black_prince [1.1K]
3 years ago
7

Does anyone know the answer?

Mathematics
1 answer:
Flura [38]3 years ago
7 0
<h3>Answer: 41.19 degrees</h3>

==========================================

Work Shown:

See the diagram below.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 7/8

A = arctan(7/8)

A = 41.1859252

A = 41.19 degrees

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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
polet [3.4K]
Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10
Also,
\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
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\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11
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Answer:
The coordinates of D are (1.11, 1)

4 0
3 years ago
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