A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
2 answers:
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The question is missing the figure. So, it is in the atachment.
Answer: MN = x LN =
Step-by-step explanation: The first figure in the attachment is the figure of the question. The second figure is a way to respond this question by tracing the altitude from M to LN as suggested. When an altitude is drawn, it forms a 90° angle with the base, as shown in the drawing. To determine the other angle, you have to remember that all internal angles of a triangle sums up to 180°.
For the triangle <u>on the left</u> of the altitude:
45+90+angle=180
angle = 45
For the triangle <u>on the right</u>:
30+90+angle=180
angle = 60
With the angles, use the Law of Sines, which is relates sides and angles, as follows:
For MN:
MN =
MN = x
For LN:
LN =
We can determine sin (105) as:
sin(105) = sin(45+60)
sin(105) = sin(45)cos(60) + cos(45)sin(60)
sin(105) =
sin(105) =
LN =
LN =
LN =
The expressions for:
MN = x
LN =
