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!
When you solve proportions, you have to cross multiply.
9 x
--- = --- Multiply each numerator by the opposite denominator.
11 22
(9)(22) = 11x Then, multiply.
198 = 11x Then, divide.
18 = x
Answer: 4.4 + (4 x 1/4 + 8.6) = 14
Step-by-step explanation: Because starting inside the parenthesis, 4 times 1/4 = 1. Then 8.6 plus 1 = 9.6. Finally, 9.6 plus 4.4 which equals 14. :)
Corresponding Angles postulate is ur answer mate
