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:
Energy consumed = 1.73× 10⁵ J
Step-by-step explanation:
Given:
Power P = 48.1 W, Time = 1 Hrs= 3600 S
Formula of Power = Energy / Time
⇒ Energy = Power × Time
Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J
Answer:
a. Point S
b. Line segment PT and Line segment ST
c. PSQRU
d. Lines PR and SQ
e. Plane C and Plane QRS
Step-by-step explanation:
Step-by-step explanation:
y = x - 2
x + y = 12
Substitute the first expression for y into the second equation.
x + (x - 2) = 12
2x - 2 = 12
2x = 14
x = 7
Now plug into either equation to find y.
y = 7 - 2
y = 5
So the solution is (7, 5).
