Aladder 8ft long resting against a house makes a 60 degree
angle with the ground. how far up does the house reach? give answer
in terms of radicals with the radical in the numerator.

4√3 feet

Step-by-step explanation:

Here, a ladder is resting against a house makes a 60° with the ground,

Consider x be the distance of the top of ladder from the foot of house and y be the distance of bottom of ladder from the house. ( shown in the below diagram )

Using trigonometric ratio,

We have, length of ladder = 8 ft,

Hence, the house would reach 4√3 feet up.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.