Question

I'm so lost in trigonometry please help??​

Answer 1

Answer:

The ladder will go approximately 35.71 ft up the building.

Step-by-step explanation:

The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.

It means the ladder will form a right triangle with the building with the following dimensions:

• base  =  35  f t

• hypotenuse  =  50  f t

• height = ?

Using the Pythagorean Theorem to determine the height,

$a^2+b^2=c^2$

Here,

• a is the height

• b is the base

• c is the hypotenuse

Substitute the given values into the equation to determine the height:

$a^2+b^2=c^2$

$a^2+\left(35\right)^2=\left(50\right)^2$

$a^2+1225=2500$

$a^2=1275$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$a=\sqrt{1275},\:a=-\sqrt{1275}$

$a\:=\:35.71,\:\:\:a\:=\:-35.71$

We know that height can not be negative. Thus,

$a=35.71$ ft

Therefore, the ladder will go approximately 35.71 ft up the building.