Question

A straight line through P (3,4) makes an angle of 60° with X-axis in positive direction. Find the coordinates of the points on the line which are 5 units away from P. Pls answer

Answer 1

Answer:

The points are (5.5, 8.33)

Step-by-step explanation:

The initial coordinates are (x,y)

The angle it makes with them is given by 60

Any point on the x axis at a distance of 5 is given by

x + 5 cosФ

Here x= 3 Ф=60

3+ 5×cos 60= 3+ 2.5= 5.5

Any point on the y axis at a distance of 5 is given by

y + 5 sin Ф

= 4 + 5× sin 60

=4+ 4.33= 8.33

The points are (5.5, 8.33)

Answer 2

Answer: (11/2, 8+5√3/2), (1/2, 8-5√3/2)