Aladder is leaning up against a 70 foot wall at an angle of elevation of 38° how far is the foot of the latter from the wall? round your answer to the nearest 10th of a foot

Tanα=h/x

x=h/tanα

x=70/tan38 ft

x≈89.6 ft (to nearest tenth of a foot)

Note: the question seems strange, (because this would make the ladder almost 114 feet long!) or are we to assume as I did that the ladder is leaning against a point 70 feet high, or should if be a 70 foot ladder leaning against a wall of unknown height?

If it is just a 70 ft ladder at a 38° inclination the:

cosα=x/L

x=Lcosα

x=70cos38° ft

x≈55.2 ft

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)