Afive foot boy casts a 2 foot shadow. at the same time the shadow of the court house tower is 25 feet in length. how tall is the court house tower

The court house tower is 62.5 feet tall

Step-by-step explanation:

A five foot boy casts a 2 foot shadow.

Height of boy = 5 feet

Height of shadow of boy = 2 feet

So ratio of original height to shadow height is 2.5.

Now we need to find how tall is the court house tower, if its shadow is 25 feet.

The court house tower is 62.5 feet tall

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this