A Force of 692 Lb is required to pull boat up a ramp incline

A Force of 692 Lb is required to pull boat up a ramp inclined at 25 degrees with the horizontal. How much does the boat weigh? Find the angle between the pair of vectors to their nearest tenth of a degree. (-5, 6), (2, -1) Find all specified squareroots Fifth squareroots of I A project is fired with an initial velocity of 300 feet per second at an angle of 70 degrees with the horizontal. In how many seconds will the projectile reach its maximum altitude? (Round your answer to the nearest tenth of second) Determine two pairs of polar coordinate for the point 0 degree LE theta LE 360 degrees Determine whether the pair of vectors is orthogonal (-2, 6) (-7, -5)

Solution

2) required to pull a boat up a ramp =692cos(25⁰)=627lb

3)let u=<-5,6>, v=<2,-1>

let angle between vectors be

cos =(u.v)|/||u||v||

cos=((-5*2)+(6*-1))/([(-5)²+(6)²][(2)²+(-1)²])

cos=(-16)/(615)

cos=-16/305

=156.4⁰