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
Vlad1618 [11]
3 years ago
12

A helicopter hovers 500 feet above a small island. The figure shows that the angle of depression from the helicopter to point p

is 50. How far off the coast to the nearest foot is the island.
Mathematics
1 answer:
Anna007 [38]3 years ago
4 0
<span>In the problem, we were asked to find the distance from the base towards the island. First, we need to calculate for theta. So, 90-50 = 40°
Remember mnemonics, SOH CAH TOA. Since given is the angle and the altitude, we are going to use the tangent function.
tan40° = d/500
= 419.54 or approximately 420 feet.
The island is 420 feet away from the location underneath the helicopter.</span>
You might be interested in
A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t
polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

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

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

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

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

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

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

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

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

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

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0
2 years ago
Find the axis of symmetry and vertex of the following y= -2x2-3x+2
Mnenie [13.5K]
Y= -2x²-3x+2, (form y = ax² +b .x + c

The parabola opens downward & hence it's Vertex is a MAXIMUM.

We know that the axis of symmetry is -b/2a ==>3/(-4) ==>
x= - 3/4 (axis of symmetry. At x=-3/4 , y = 25/8 = 3.125

Hence the axis of symmetry is x= - 3/4 & the vertex is at (-3/4, 25/8)
8 0
3 years ago
A candy company that makes colored candies claims that​ 10% of the candies it produces are green and that bags are packed random
melamori03 [73]

No. The sample size is too small to be reliable. If there were many bags of 500 candies that consistently showed a larger-than-marketed amount of green candy, that will be better proof.

6 0
3 years ago
Graph this function: f(x) = x2-4x - 5<br> Step 1: Identify a and b.
Lina20 [59]

Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5

Step-by-step explanation:

4 0
3 years ago
78974 divided bye 21 with whole number and remeinder
andriy [413]

Answer:Said Imneverlackin'alwayspistolpacking

Withthemautomaticswegonsendhimtoheaven

Wait, wait, wait, wait, ayy, ayy, WOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which of the following functions has the greatest y-intercept?
    15·2 answers
  • Using quadratic form 6x^2-8x+3=0
    9·1 answer
  • 12. a. Write a survey question to find out the number of students in your class who plan to travel out of state after graduation
    12·1 answer
  • Multiply (3x2-2x)(2x2+3x-1)
    11·1 answer
  • Express 90 as a product of its prime number
    9·1 answer
  • Please help, multiple choice
    10·1 answer
  • What is the value for y?<br><br><br><br> Enter your answer in the box.
    11·1 answer
  • I WILL GIVE BRAINLIEST!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard devia
    5·1 answer
  • Help and tell me why
    7·1 answer
  • Subtract polynomials: <br> (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!