The resultant of two forces acting at a point at right angles to each other is 40 pounds. If the horizontal force is 30 pounds what is the other force?​

10√7 pound

Step-by-step explanation:

R = √A² + B² + 2ABcos∅

=> 40 = √30² + B² + 2ABcos0°

=> 40² = 30² + B² + 0

=> 1600 - 900 = B²

=> √700 = B

=> 10√7 = B

Note that if R = 50*, B = 40 pounds

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175