Question

you have a ladder that has a length of 4.5 m leaning against a building at an angle of 75 to the horizontal.you climb from the bottom of the ladder to the top. how far do you move?
horizontally?
vertically?

Answer 1

Answer on Question #73377 - Physics / Other

You have a ladder that has a length of $l = 4.5$ m leaning against a building at an angle of $\alpha = 75{}^\circ$ to the horizontal. You climb from the bottom of the ladder to the top. How far do you move?

Horizontally?

Vertically?

Solution:

Horizontally

$$x = l \cos \alpha = 4. 5 \cos 7 5 {}^ {\circ} = 1. 1 6 \mathrm {m}$$

Vertically

$$y = l \sin \alpha = 4. 5 \sin 7 5 {}^ {\circ} = 4. 3 5 \mathrm {m}$$

Answers:

Horizontally $1.16\mathrm{m}$

Vertically $4.35\mathrm{m}$

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