We have two similar triangles, the one as a whole and the one inside of it. To calculate the height of the flagpole we can set up a proportion. First calculate the length of the base of the smaller triangle.
16.60 - 12.45 = 4.15m
The height is 1.65m, set up a proportion:
Cross multiply:
Divide 4.15 to both sides:
So the height of the flagpole is 6.6 meters tall.
Answer:
(h,k)=(8,-8)
Step-by-step explanation:
From the given equivalent forms of the function g(x), we are to pick which form quickly reveals the vertex.
The vertex form of a parabola is given: 
, where (h, k) is the vertex of the parabola.
Therefore, Option A, quickly reveals the vertex.
From the above, h=8, k=-8. Therefore the vertex (h,k)=(8,-8)
Step-by-step explanation:
As the triangles are similar so,
3/9 = 4/12 = 4.5/k
Taking 3/9 and 4.5/k Then
Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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Answer:
10:1
Step-by-step explanation:
