1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
5

A traffic helicopter pilot 300 feet above the road spotted two antique cars. The angles of depression are 7.5° and 9º. How far a

part are the cars? Round to the nearest tenth.
Mathematics
1 answer:
loris [4]3 years ago
7 0

Answer:

  384.6 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig relation involving sides adjacent and opposite the angle. Here, the road distance is adjacent to the angle of depression, and the altitude is opposite. So, you have ...

  Tan = Opposite/Adjacent

  tan(7.5°) = (300 ft)/(distance to car 1)

  tan(9°) = (300 ft)/(distance to car 2)

Solving for the distances, we have ...

  distance to car 1 = (300 ft)/tan(7.5°) ≈ 2278.73 ft

  distance to car 2 = (300 ft)/tan(9°) ≈ 1894.13 ft

Then the separation between the cars is ...

  distance apart = 2278.73 ft - 1894.13 ft

  distance apart = 384.6 ft

You might be interested in
for an acute angle 0, the equation sin(0) the equation sin(0) = cos(6) is true. What is the value of 0?​
11111nata11111 [884]
The answer for the value of 0 is 0=1
8 0
2 years ago
Find the EXACT distance between the two points.<br><br><br><br> (4,7) and (−4,9)
bazaltina [42]

ANSWER: y=-\frac{3}{4} x +6 3x=24-4y

Ok done. Thank to me :>

6 0
3 years ago
The point U (-2,0) is translated 1 unit up. What are the coordinates of the resulting point, U’?
MrRissso [65]

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

4 0
3 years ago
Read 2 more answers
I'll give brainly &lt;3 Please help with these questions &lt;3
Naily [24]
Difference would be 1000x3.0 - 8.8x10000 = -85000
Scientific notation would be 8.5x10^-4
7 0
3 years ago
4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

Hence, the monthly payment is $403.15

3 0
3 years ago
Other questions:
  • A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the proba
    11·1 answer
  • Solve z-28/ -25 = 18
    13·1 answer
  • You have a rectangular yard that measures 16 feet Long by 14 feet wide.it id covered in grass except For in the Center,where the
    6·1 answer
  • Solve the inequality: -6n - 12 &gt;= 3(-n + 12)
    5·1 answer
  • if it’s possible could anyone do atleast question 11, 13, and 16 for me? so i can understand how to do them! sorry if it’s a lot
    8·1 answer
  • Please help me with this thankyou​
    12·1 answer
  • On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
    6·1 answer
  • HELP HELP HELP HEPL memememememme
    13·1 answer
  • 1)x - 8 = 12. what's the answer​
    11·1 answer
  • 40 in^2 to cm^2<br><br> Have to find the cm
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!