The answer is 2 square root of 3
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!
Answer:
6, 12, 18, and 24
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24. Common multiples of 2 and 3 include 6, 12, 18, and 24.
we know that
A half-acre is equal to----------> 
Let
x---------> the length side of the building lot
y--------> the width side of the building lot
A------> Area of the building lot
x=5y-------> equation 1


--------> equation 2
substitute equation 1 in equation 2
![2,023.43=[5y]*y](https://tex.z-dn.net/?f=2%2C023.43%3D%5B5y%5D%2Ay)

<u>Find the value of x</u>

therefore
<u>the answer is</u>
the dimensions of the building lot are 100.55 m* 20.11 m
Hope this helps. Domain and range are the same for this question.