Answer:
921.165 feet
Step-by-step explanation:
Ok we are looking for the length of the base.
Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.
The height= 645 feet
Angle of elevation= 35°
Base is unknown
To find the base
We recall that tan of angle
= opposite/adjacent
In this case
Angle= 35°
Opposite= height= 645
Adjacent= base
Tan 35 = 645/adj
Adj =645/tan 35
Adj =645/0.7002
Adj = 921.165
The base is 921.165 feet
Answer:
Part 3: 9 Dogs
Step-by-step explanation:
It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs
And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D
I'm guessing the sum is supposed to be

Split the summand into partial fractions:


If
, then

If
, then

This means

Consider the
th partial sum of the series:

The sum telescopes so that

and as
, the second term vanishes and leaves us with

Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.




Therefore, the length of side x is about 28.286 cm.