Answer:
The maximum safe rescue height is 104.6 feet above the height of the ground.
Step-by-step explanation:
Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.
We have to find the height of the building.
Let x be the height of building
Using Trigonometric ratio,





So, the maximum safe rescue height is 104.6 feet above the height of
the ground.
The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.
First, the one that you're trying to match: <u>49:35</u> .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . <em>7:5</em> . . . <u>that's</u> what you have to match.
<u>7:4</u>
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.
<u>14:25</u>
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.
<u>21:15</u>
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . <em>7:5 </em>.
That's it !
Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
Answer:
Question 160644: Two cars leave town at the same time going in opposite directions. One travels 55 mph and the other travels 48 mph. In how many hours will they be 206 miles apart? T=2 HOURS THEY WILL BE 206 MILES APART
Ok thank you