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
kotegsom [21]
3 years ago
14

A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lightho

use. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
<span>The ratio of the ruler’s height to the distance from eye to ruler, which is the tangent of the angle subtended at the eye by the ruler’s height, must be the same as the ratio of the lighthouse’s height to its distance, which is the tangent of the same angle. Since 3 inches is ¼ foot, we have ¼/2=60/D, and solving for D gives D= 2×60/¼ = 4 × 120 = 480 feet</span>
Oksanka [162]3 years ago
6 0

Solution:

Actual Height of Light House = 60 Feet

Comparing with the ruler

Height of Ruler = 3 inches

Distance between eye and Ruler = 2 feet

Let Actual Distance between Light house and Ruler = x feet

As the two triangles are similar by AA Criteria, so their sides  will be proportional to each other, i.e

\frac{60}{3}=\frac{x}{2}\\\\ 20=\frac{x}{2}\\\\ x=40 feet

So, Distance between Light house and Ruler = 40 feet


You might be interested in
Gimme some good memes, the best get Brainliest!​
jeyben [28]

Roses are Red

Violets are blue

God made me bootiful

What the hell happed to you. 0,0

—————————————————

This one sucks but :>

4 0
2 years ago
Read 2 more answers
Can u please help me list it greatest to least
san4es73 [151]
Greatest to least is 3 1/2 , 3 , 1/3 , 0.3 , 0.03

Hope im right
4 0
3 years ago
Answer asap-30 points
Alex_Xolod [135]
Answer: D
Explanation: I am not completely sure but the angles would be the same because they are right next to eachother
Hope this helps ;)
7 0
2 years ago
Orlando earned $92.25 washing Windows on the weekend. He worked 3.5 hours on Saturday and 6.75 hours on Sunday. If Orlando charg
LekaFEV [45]

Answer:

$9.00 an hour

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Alyssa has four marbles: a red one, a blue one, a green one, and a yellow one. In how many different ways can she form a set con
OverLord2011 [107]

Answer:

12 possibilities

Step-by-step explanation:

The first choice can be any of the four colors. For each of these 4 first choices there are 3 second choices. Therefore there are 4 x 3 = 12 possibilities.

3 0
3 years ago
Other questions:
  • Item 5Find the percent of the number.175% of 54 is .
    6·1 answer
  • Please help me find the pythagoras and missing letters. Statement and reason method. Will mark as brainliest
    5·1 answer
  • The per capita electric power consumption level in a recent year in Ecuador is normally distributed, with a mean of 471.5 kilo-w
    14·1 answer
  • Write five numbers that round up to 600<br> write five numbers that round down to 600
    7·1 answer
  • 2. Which is equal to log6?
    5·1 answer
  • Help Solve. 5t ≤ –15
    5·2 answers
  • N x 1 = n is what property?
    12·1 answer
  • Which correctly describes a cross section of the cube below? Check all that apply.
    15·1 answer
  • 8 A right rectangular prism is completely filled with small cubes. Each small cube
    14·1 answer
  • An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2-pound bag of food feed for one week?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!