Question

A displacement B of 100m from the origin at an angle of 370 above the X-axis is the result of three successive displacement: b1 of 100 along the negative X-axis, b2 of 200m at an angle of 1500 above the X-axis, and a displacement b3. Find b3

Answer 1

Answer:

Displacement of $B_3$ will be 98.48

Explanation:

We have given a displacement of 100 m from the origin at an angle of 370 above x axis

So displacement of B along x axis = $100\times cos370^{\circ}=98.48$

Displacement $B_1$ is given as 100 m along negative x-axis

So $B_1=-100m$

Displacement $B_2$  is given as 200 m at an angle of 1500 above x axis

So $B_2=200cos1500^{\circ}=100$

So $98.48=-100+100+B_3$

$98.48=B_3$