Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Cannot be determined
<u>Explanation</u>
The probability cannot be determined because we do not know the distribution of the population. We also do not know the number of students who are taking marketing or spanish or total number of students. Since the data is incomplete, we cannot determine the probability of students taking spanish or marketing.
Answer:
I don't know ask to your teacher
M=-4 the slope that is the steepest is
Answer:
Step-by-step explanation:
Since x represents the length in feet, and the width is 2 ft shorter than 3 times the length, the width is 3x-2.
The perimeter is twice the sum of length and width, so we can write the equation ...
76 = 2(x + (3x-2))
38 = 4x -2 . . . . . divide by 2, simplify
40 = 4x . . . . . . . .add 2
10 = x . . . . . . . . . the length of the garden is 10 ft
The width of the garden is ...
3·10 -2 = 28 . . . feet
The width of the garden is 28 feet.