A ladder leaning against a wall makes a 45-degree angle with the ground. The ladder has a horizontal distance from the wall of 7 feet. At what vertical height does the ladder touch the wall? Round your answer to the nearest Whole Number. (hint: draw a picture)

meeeeeee Jan 22, 2022

#1**+1 **

By doing \(7 \over cos{45}\), we find the the hypotenuse of the triangle is 9.9 meters long, meaning that the ladder is 9.9 meters long.

By using the Pytahgorean's theroem, \(9.9^2=7^2+x^2\), we find that the vertical height is \(7\) meters

BuilderBoi Jan 22, 2022

#3**0 **

Melody is right –there is no need for trig.

At 45° the elevation and run length are equal, so it’s seven feet. (BTW, it is feet, not meters).

If you do want to use trig then the direct method is tan(45) * 7. (No need for elaborate mating rituals, if you just want to say *hello*.)

--. .-

Guest Jan 23, 2022

edited by
Guest
Jan 23, 2022