Question

A ladder 20 ft. long is set with one end at a horizontal distance of 7ft. form a sloping wall. The other end of the ladder reaches 15 ft up the face of the wall. What angle does the wall make with horizontal?
USING COSINE LAW...can anyone can show and give the figure for this...medals and fan will be provided

Answer 1

a right triangle?

Answer 2

yes

Answer 3

you could get the angles values now using both cos and sin ...

Answer 4

can you show me the solution for this and the unknown?

Answer 5

this angle?

Answer 6

\[cos\theta=\frac{a}{h}\]
Where:
\(a=adjacent\)
\(h=hypotnuse\)

In this example:
\(a=7\)
\(h=20\)

\[cos\theta=\frac{a}{h}\]\[\theta=cos^{-1}\frac{a}{h}\]\[\theta=cos^{-1}\frac{7}{20}\]\[\theta=69.51\]
So the angle that makes with the horizontal is \(69.51\) degrees