Question

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

Answer 1

The ladder will go approximately 35.71 ft up the building.

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=√(f\left(a\right)),\:\:-√(f\left(a\right))`

`a=√(1275),\:a=-√(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.