2. You are standing 15 feet from a tree. You want to get an apple from the tree using a ladder that is 25 feet long. What is the height of the tree? What is the angle of elevation?

h = 20 ft

theta =53.13010235

Step-by-step explanation:

First we can find the height by the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs

15^2 + h^2 = 25^2

225 + h^2 = 625

h^2 = 625 - 225

h^2 = 400

Taking the square root of each side

h = 20 ft

Now using trig functions

cos theta = adj side / hyp

cos theta = 15/25

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 ( 15/25)

theta =53.13010235

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)