Answer:
the height of the taller building is 14.47 m
Step-by-step explanation:
Given the data in the question as illustrated in the image below.
form the image; ( Triangle BDE )
we know that sin∅ i= opposite/hypotenuse
so; sin12° = BE / 21.5
BE = 21.5sin12°
BE = 4.47 m
since, EA = DC = 10 m
BA = BE + EA
BA = 4.47 m + 10 m
BA = 14.47 m
Therefore, the height of the taller building is 14.47 m
Substitution!
<span>y = 4x – 10...(1)
y = 2...(2)
You have y=2 here, substitute it in equation (1),
</span><span>y = 4x – 10
</span><span>2 = 4x – 10
</span>Add both sides by 10
12=4x
Divide both sides by 4
x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
B subtract 18 from both sides
Let's solve the sine equation.
1. Express sine function in the left side of equation:
.
2. Use the genereal solution to get the solution of your equation:
, where .
3. Find :
.
4. Substitute part 3 into part 2 and express x:
, where
, where .
5. Solutions of your equation are:
, where .
Add 8 to both sides (-5)
-8 is going to cancel out so it will get ride of -8 and it will only add -5
-5+8=3
then all you have left is x
so it would be x=3