For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
Answer:
tan∠Y = 2,14
Step-by-step explanation:
First , we need to determine XY
in order to do that we use the Pythagorean theorem :
XY = √(85^2-77^2) = 36
tan∠Y = 77/36 = 77÷36 = 2,138888888889
10 the equation should be 3x + 6 = 63
subtract 6 from both sides to get 3x = 57
57 ÷ 3 = 19 inches
11
-1.5 * 4 = -6 degrees
an increase in 4 degrees us the answer
Let x be the number of hours ling work on monday.
We know that she worked three more hours on tuesday that in monday, this can be express as :

We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:

The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :

Now , once we have all the expressions we add the expressions of the days and equate them to the total

Now we solve the equation

Therefore , she worked 2 hours on monday.
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The domain is -1, 0, 1, 2, 3, 4. Hope this helps.