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
vladimir1956 [14]
2 years ago
14

From the top of a lighthouse 240 feet high, the angle of depression to a boat out on the water is 23 degrees. Find the distance

from the boat to the bottom of
the lighthouse. Round your answer to the nearest foot.
Mathematics
1 answer:
g100num [7]2 years ago
3 0

Answer:   565 feet

This value is approximate.

===============================================

Explanation:

Imagine you are at the top of the lighthouse, and look straight horizontally outward. Then imagine looking down 23 degrees to spot the boat. This forms the angle of depression.

The adjacent angle complementary to this is 90-23 = 67 degrees. This is the interior angle of the triangle needed, and this angle is at the top of the triangle.

tan(angle) = opposite/adjacent

tan(67) = x/240

x = 240*tan(67)

x = 565.4045677977 approximately

x = 565 feet

The diagram is below.

You might be interested in
HELP ME PLEASE 10 points!!!!!
atroni [7]

Answer:

x>9

Step-by-step explanation:

Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.

The question also asks to solve the inequality:

  1. 55+5x>100
  2. 5x>100-55 (Subtract 55 from each side)
  3. 5x>45
  4. x>9 (Divide each side by 5)

This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.

lmk if i made an error, hope this helps!!

3 0
2 years ago
Ben makes $39,600 a year. What is the maximum amount he can afford for a'
Olin [163]

Answer:

B:825

Step-by-step explanation:

Hopes this helps:)

3 0
3 years ago
Please help me with this. I forgot the formula for this
Lapatulllka [165]
There is the formula now just plug in the values and you will get your answer.

7 0
3 years ago
(I will give brainliest. Please answer quickly)
ladessa [460]

The first step to solve this problem is to find the area of the rectangular piece of fabric.

A of triangle = bh/2

A = (14 cm) (6 cm) /2

A = 84 cm^2 / 2

A = 42 cm

And since there are 31 pieces of the fabric, the total area of all the pieces of fabric is:

31 pieces of fabric x 42 square centimeters per piece = 1,302 square centimeters

To computer how many congruent triangular patches can be cut, you have to divide the total area of the fabric pieces with the area of the congruent triangle:

1,302 square centimeters / 21 square centimeters = 62

Therefore, Leia can cut 62 patches.

4 0
3 years ago
A circle has a circumference of 37 millimeters. What is the circle's
olasank [31]

Answer:

5.9

Step-by-step explanation:

To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!

8 0
3 years ago
Other questions:
  • Relations are ___ functions <br><br> Always<br><br> Sometimes <br><br> Never
    14·1 answer
  • What is a y intersection bc ia m learning that and just wow
    7·2 answers
  • A Luxury of Furniture at a store sells couches for $4,000,Reclining Chairs for $2,040 and loveseats for $2,800. This Luxury line
    14·1 answer
  • How to graph y=12 and x=0?
    6·1 answer
  • What is the answer to,,5/17 × -7 =??
    10·1 answer
  • A board is 4 feet 8 inches long how long is the board inches
    15·1 answer
  • I’m tired of getting it wrong someone help me pls
    14·1 answer
  • What's the numerator for the following rational<br> expression?<br> j/k + 1/k = ?/k
    11·1 answer
  • Joe brought 17 packs of cola to a party, and each pack had 8 cans. Teresa brought 6 cans of juice. How many cans did they bring
    10·2 answers
  • Which two equations represent a nonlinear function?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!