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
ad-work [718]
3 years ago
9

A pole that is 2.5 M tall cast a shadow that is 1.72M lawn dart at the same time a nearby tower cast a shadow that is 50.5 M lo

ng how tall is the tower round answer to the nearest meter
Mathematics
1 answer:
inn [45]3 years ago
5 0

Answer:

The tower is 73.4 m tall

Step-by-step explanation:

The height of the pole = 2.5 m

The shadow cast by the pole = 1.72 m

Shadow cast by tower = 50.5 m

To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;

Tan\theta =\dfrac{Opposite \ side \ to\  angle \ of \ elevation}{Adjacent\ side \ to\  angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}

\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}

The same tanθ gives;

Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \  shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}

Which gives;

{Height \ of \ tower } = {50.5} \times  \dfrac{2.5}{1.72} = 73.4 \ m

You might be interested in
Claire rides her bicycle five miles each day for four days and two miles each day for the remaining three days of the week.
Olenka [21]

Answer:B.(5 x 4)+(2x3)

8 0
3 years ago
Need help on 41-44 please
Anika [276]
44-41=3 hope it help think so
4 0
3 years ago
HELP I NEED HELP ASAP
Irina18 [472]

Answer:

Step-by-step explanation:

5 0
2 years ago
1.5<br> For use after Le<br> Divide, if possible.<br> 1. 3+ (-1)
UkoKoshka [18]
2 is answer for that
4 0
3 years ago
Read 2 more answers
Draw an angle of negative pie over three in<br> Standard position.
AVprozaik [17]

Check the picture below.

recall that negative angles go "clockwise".

7 0
3 years ago
Other questions:
  • A line with slope = 1/2 passes through the points (2,5) and (x, 3). What is the value of x?
    9·1 answer
  • Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the value
    8·2 answers
  • The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 25 to 46 minutes. Let X d
    7·2 answers
  • A car goes 54 miles on 3 gallons of gas. How many miles does it go on 8 gallons of gas?
    11·1 answer
  • A class has 29 students. In how many different ways can four students form a group for an​ activity? (Assume the order of the st
    11·1 answer
  • Give the name of the two angles state the relationship between the 2 angles solve for x then find the measure of the indicated a
    14·1 answer
  • Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.
    7·1 answer
  • Answer asapppldfghjkl;uytjfgnvblh
    14·1 answer
  • Need this for homework plz help me
    11·2 answers
  • Area of the rectangle is 126 sqaure meters. Length of the rectangle is 4 more than 2 times its width. Find length and width of t
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!