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The area of the successful region is 2, so the probability is 2/3.

Hint(s): (I gave you the solution for the other problem so you should be able to use that to solve it since angle of elevation and angle of depressions are very similar) He's 40 meters off the ground, so find the distance between the bottom of his office building and the base of the tower using tangent (because we know the opposite and we want to find the adjacent. Once you know the distance between the bottom of the office building and the base of the tower (call it x), use tangent on the angle of elevation to find how much taller the tower is compared to where he is standing.

Below is a diagram.

Thankyou Guest,

that answer was correct and it made alot of sense.

thanks so much for the explanation :D

it helped a lot!

You could've made this comment on one of your other posts. You didn't need to make another question just to say this.

I'll help you with this question :)

(however you should answer the other one you just posted)

We know the chopper is 630 meters above the highway, and the angle of depression is 27 degrees. We want to find how far along the highway the accident is. 

Below is the diagram, where x is the length of the highway

We see that \(\tan(27^\circ) = \frac{630}{x}\)

Therefore, \(x=\frac{630}{\tan(27^\circ)}\).

Plugging this into a calculator gives us \(\approx1236.44\)

To draw the tree you should make six branches for each presdident choice, including none at all.  Then off of each of the six branchs do four more branches to repesesnt the secretary options.  Now use this tree to answer B and C

They want you to find which of the foor answers are equal to the expression shown.  Next time you don't know what a word means you can use the dictonary.

3x-7+2=35 Here we have the orginal problem

3x-7=33 Subtract 2 from both sides

3x=40 now add 7 to both sides

x=40/3 and then divde three from both sides.  

Depending on what website your using you may need to simplify 40/3.  This should be easy to do but if you need help reply to this comment.

I did not check Guest's answer,  but equivalent often means 'simplify' to find the 'equivalent' expression......

lol ik :)

thanks btw!

Is it not an 'inclinometer' ?   Hmmmmm....

When we determine the height of the tree ...it will be from Thomas'  eyeballs....so we will add his height at the end

Draw a picture of the scenario for a clearer view:

Tan 70 = opp/adjacent  =   height / 12      

tan 70 = height / 12                 solve for height....then add Thomas height (2.2m ...Man!  He is TALLLLLLL!)

Equivalent means something that's equal  

The answer with the dot is the correct answer 

                                                                                                     –9         x^–1        y^–9  

Write the expression like this and reduce as much as you can   ––––  •  ––––  •  ––––   

                                                                                                    –15         x⁵         y^–3    

It was the end of a fair amount of work.  I worked out the sequence and than used and AP to finish it. 

It was not necessary to answer the question.

I think e2 is just e1 +1

I have answered the first one.