Answer:
h = 1558.8
Step-by-step explanation:
Let x be the distance from the vertex of the 30 degree angle to the base of Blue mountain.
Tan (30) = h/x Multiply both sides by x.
x * Tan(30) = h
Tan(25) = h/(x + 200) Multiply x + 200 on both sides.
(x + 200) * Tan(25) = h
Now you have 2 equations both equal to h. The two sides can be equated to each other.
x*tan(30) = (x + h) * Tan(25) Divide both sides by tan(25)
x*tan(30)/tan(25) = x + 200 Find Tan(30)/Tan(25)
Tan30 / tan(25) = 1.23813 so
1.23813 x = x + 200 Subtract x from both sides.
0.23813x = 200 Divide both sides by 0.23813
x = 200/0.23813
x = 839.99
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That is not the answer you have been asked for. What you need is h.
Tan(30) = x / h Multiply both sides by h
h*tan(30) = x Divide both sides by tan(30)
h = x/tan(30)
h = 839.99/tan(30) Tan 30 = 0.57735
h = 839.99/0.57735
h = 1558.8
He just have to do a substraction.
42 = x +23
42 - 23 = x
19 = x
x= 19
That's simple !
Hope this helps !
Photon
Answer:
2/5
Step-by-step explanation:
is equal to (Any number to the power 1/5 means to find the fifth root). Now we can do × (we would just add the powers). 1/5 + 1/5 = 2/5. The answer is , so a = 2/5.
Hope this helps!
Answer: r = C/2pi
Step-by-step explanation:
1. Divide by 2pi on both sides
C/2pi = r
(I cant type the symbol for pi so i just wrote it out)