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# trig

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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)

Jan 22, 2022

#1
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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

Jan 22, 2022
edited by BuilderBoi  Jan 22, 2022
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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
#2
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This isn't intended as a trig question.

Draw the pic and you will see the answer fairly easily.

Jan 23, 2022