Answer:
Length of the shadow of the pole is 6.93 metres
Step-by-step explanation:
Given:
Height of the pole = 4 m
The angle sun makes with the horizontal = 30 degrees
To Find:
Length of the shadow of the pole = ?
Solution:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta
Let x be the length of the shadow
According to the tangent ratio

On substituting the values,



x = 6.93 m
Answer:
Yes
Step-by-step explanation:
3:9 in their lowest forms are 1:3 which is the same for 6:18
Answer:
6. X=6
7. x=16 and y=11
Step-by-step explanation:
6. If UW bisects angles m<TUW=(13x-5) and m<WUV=(7x+31), find the value of x
To solve we need set both equations equal to each other
13x-5=7x+31
now we need to get both constants (numbers with out variables for example: 1) alone on one side and Variables alone on one side.
you want to look at the equation and see which one is easier to do first. I see that the most easiest way is to move -5 to the left side. to do so we need to add 5 to both sides.
13x-5=7x+31
+5 +5
13x=7x+3+5
Add 31 and 5 together since there both constants
31+5=36
13x=7x+36
now we need to move 7x to the right side. to do so we need to subtract 7x on both sides.
13x=7x+36
-7x -7x
13x-7x=36
now we need to subtract 7x from 13x since they are liked terms
13x-7x= 6x
6x=36
now we need to isolate x To do so we need to divide by 6 on both sides.
6x=36
--- ---
6 6
x=6
If m<DEG=(5x-4), m<DEF(7x-8)m< DEH=(9y+5) find the values of x and y
Since DEF and DEG are congruent we can add then together to get our x value
congruent angles add up to 180
5x-4+7x-8=180
add 5x and 7x
add -4 and -8
12x-12=180
ISOLATE X
Add 12 on both sides
12x=192
now we need to divide 12 on both sides
12x/12= x
192/12=16
x=16
DEF AND DEH are Vertical opposite meaning they add up to each other. they both have the same degree.
so
9y+5=7x-8
PLUG IN X=16
9y+5=7(16)-8
7*16=112
112-8 =104
9y+5=104
ISOLATE VARIABLE Y
subtract 5 on both sides
9y=99
now divide by 9 on both sides
9y/9=y
99/9=11
y=11
Answer:
Step-by-step explanation:
(0, 1) , (1, -1)
(-1 -1)/(1 - 0) = -2/1 = -2
y - 1 = -2(x - 0)
y - 1 = -2x + 0
y = -2x + 1