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jeka94
3 years ago
5

A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the

same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

48ft

Step-by-step explanation:

  • <u>Distance of car A from the tower</u>
  • Consider ∆ACD tan25 = 50/AC AC  = 50/tan25 = 50/0.4663 = 107.2 ft
  • <u>Distance of car B from the tower</u>
  • Consider ∆BCD tan40 = 50/BC AC  = 50/tan40 = 50/0.8391 = 59.6 ft

  • <u>Distance from cars A and B</u> AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ft
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7 0
3 years ago
If the area of a park is exactly halfway between 2.4 and 2.5 acres what is the area of the park
Paul [167]
Get the distance between two acres.

2.5 - 2.4 = 0.1

Divide the diffence by 2
0.1 / 2 = 0.05 - Halfway between them.

Therefore, 0.05 must be taken from 2.5 acres. it must be added to 2.4 acres to get the exact area of the park.

2.5 - 0.05 = 2.45
2.4 + 0.04 = 2.45 acres

OR

Simply get the average of the two to get the area since it is exactly halfway between the two acres of land.

2.5 + 2.4 = 2.9 / 2 = 2.45 acres
8 0
3 years ago
Read 2 more answers
BRAINLIEST.In which quadrant does the point (-5, 21) lie?
DanielleElmas [232]

Answer:

Point (-5,21) would end up in quadrant II (2).

Step-by-step explanation:

It would end up in quadrant 2 because x=-5 which means it would go left.

y=21 which means it would go up.

Because of this, the point would end up in the top left of the graph which is quadrant 2.

4 0
2 years ago
Pleaseee help!
user100 [1]

Step-by-step explanation:

f(3)=?

f(x)=2x+5

put x=3,

f(3)=2(3)+5=6+5=11

------------

g(2)=?

g(x)=x^2-3

put x=2,

g(2)=2^2-3=4-3=1

-----------------

g(f(-1))=?

g(x)=x^2-3

and f(-1)=2(-1)+5= -2+5=3

so g(f(-1))=3^2-3=9-3=6

----------------

f(g(-1))=?

f(x)=2x+5

g(x)=g(-1)=(-1)^2-3=1-3= -2

f(g(-1))=2(-2)+5= -4+5=1

----------------

g(f(x))=?

g(x)= x^2-3

put x=f(x),

g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25

7 0
3 years ago
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