Question

The distance between the end of a lamppost’s shadow and the top of the lamppost is 39 feet. The angle measure of the shadow is 23°. How long is the shadow of the lamppost to the nearest tenth of a foot?

Answer 1

a certain sense of deja vu here

Answer 2

\[\cos(23)=\frac{x}{39}\] solve for x

Answer 3

you get
\[x=39\cos(23)\] but then you need a calculator

Answer 4

i dont get it :(

Answer 5

slump is in a slump right now

Answer 6

can you get out of here ! THANKS !

Answer 7

What did I do?

Answer 8

the bottom of the triangle is adjacent to the angle given. The hypotenuse is known.
cos = length of adjacent leg / length of hypotenuse
cos(23) = x/39

Answer 9

As you can see from the picture, the lamp post and its shadow form a right angled triangle. Once you know a side and a second angle of such a triangle, you can use trignometric functions to find the other. In this case, since the problem is asking you to find the length of the bottom side of that right triangle, you need use the cosine function (cos). Cosine(x) = length of adjacent side / hypotenuse. We don't know the length of the adjacent side. Call it "x" for now. We know Cosine(23) = x / hypotenuse. And, we also know that the hypotenuse is 39 feet. So, cosine(23) = x/39. That means x = 39 * cosine(23). Use a calculator to find the value of x. That will be your answer.

Answer 10

\[\sin(\theta)=\frac{b}{h}\]
\[\cos(\theta)=\frac{a}{h}\]
\[\tan(\theta)=\frac{b}{a}\] you've got to use what you know to get what you want. in this case you know
\[\theta\]and
\[h\] and you are looking for
\[a\]

Answer 11

omg im so confused ~ can someone please give me the answer !

Answer 12

i wrote it for you
it is
\[x=39\cos(23)\]