The correct answer is
the flagpole is <span>
33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is
33 feet high.
Answer:
for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0 Correct me if I am wrong
Step-by-step explanation:
Use the slope formula
-4-4 =-8
/ =-2
1 - -3=4
2. The second part use this formula y-y1=m(x-x1)
y--4=-1(x-3)
y+4=-x+3
-4 -4
y+0=-x-1
y=-x-1 or -1x-y-1=0 I am not sure
The population of the town in 10 years would be 29,937.
Answer:
5,000,000,000 or 1,953,125,000,000,000
Depends on what you mean
Step-by-step explanation:
If (5*10)^9
(50)^9
1,953,125,000,000,000
Or if 5 * (10)^9
5 * 1,000,000,000 = 5,000,000,000
Answer:
7x + 15y
Step-by-step explanation:
4x+ 3 ( 5y + x)
Step 1: remove the brackets by multiplying 3 with (5y + x)
4x+ 15y + 3x
Step 2: add the 4x and 3x
7x + 15y