Question

Find the distance between the points (a cos29°,0) and (0, a cos61°)

Answer 1

Answer:

a

Step-by-step explanation:

distance between two points is given by

r = √((x2 - x1)^2 + (y2 - y1)^2)

we have r = √((acos29°)^2 + (acos61°)^2)

r = a√( (cos29°)^2 + (cos61°)^2)

cos 61° = sin (90° - 61°) = sin 29°

we know that cos^2 x + sin^2 x = 1

which gives r = a