Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
New number - original number
561,000 - 438,000 = 123,000.
Increased number divided by the original number
123,000 ÷ 438,000 = 0.28
Multiply by 100
0.28 x 100 = 28%
The percentage increase would be 28%
If you know that
, then you know right away

###
Otherwise, you can derive the same result. Let
, so that
.
is bounded, so we know
. For these values of
, we always have
.
So, recalling the Pythagorean theorem, we find

Then

as expected.
= 2.31(5.82+4.18+90)/ 2.31*0.55
=2.31*100/ 2.31* 0.55
=1*100*0.55
=100*0.55
=55
Answer:
547.5 cm
Step-by-step explanation:
730(9/12)=547.5