A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to the water.

(a) What is the velocity of the boat as viewed by an observer on the shore?
m/s at ° east of north
(b) If the river is 301 m wide, how far downstream is the boat when it reaches the north shore?
m

my mans henry has the most confusing explanations

I'm a physics student getting cucked by Henry on the second part of A. Here is actually how to do it along with the other stuff

a)1.5^2+9.2^2=86.89 Square 86.89=9.3

a2) 9.2/1.5=6.133333 at this point use the inverse of tan to get 80.7, then do 90-80.7. to get 9.3.

b)301m/9.2 m/s due north= 32.72*1.5 m/s=49.08

thank you

a, V^2 = X^2 + Y^2 = 86.89

V = 9.32 m/s.

thank you so much Henry

Good job awesome mage! glooks

X = 1.50 m/s.

Y = 9.2 m/s.

a. tanA = Y/X = 9.2/1.5 = 6.13333.
A = 80.7o, CCW.
A = 90-80.7 = 9.26o East of North.

b. tanA = 301/d.
d = 301/tanA = 301/tan80.7 = 49.3 m.