A 19-ft ladder is leaning against a building. If the base of the ladder is 5 ft from the base of the building, what is the angle of elevation of the ladder? (Round your answer to one decimal place.) o How high does the ladder reach on the building? (Round your answer to the nearest whole number.) ft
we have that
Let
x -----> the angle of elevation
we know that
cos(x)=5/19 -----> cosine is adjacent side divided by the hypotenuse
x=cos^-1(5/19)=74.7 degrees
therefore
the angle of elevation is 74.7 degrees
Part 2
How high does the ladder reach on the building?
Applying the Pythagorean theorem
Let
h ----> the height of ladder
19^2=5^2+h^2
h^2=19^2-5^2
h^2=336
h=18 ft