missmackrain8851 missmackrain8851
  • 20-12-2019
  • Mathematics
contestada

A mailbox casts a 4 foot shadow. A nearby tree that measures 12 feet casts a 18 foot shadow. Write a proportion that can be used to determine the height of the mailbox

Respuesta :

SouthernRider
SouthernRider SouthernRider
  • 26-12-2019

Answer:

2.66foot

Step-by-step explanation:

Given a tree which is 12 feet tall casts a 18 feet shadow.

We know that

[tex]Tanx=\frac{height of the object}{length of the shadow}[/tex]

This Tanx is same for the maialbox too so

[tex]\frac{height of the mailbox}{length of the shadow}=\frac{height of the tree}{length of the shadow}[/tex]

[tex]\frac{height}{4}= \frac{12}{18}[/tex]

height = 2.66 foot

Answer Link

Otras preguntas

Help me and show your work.
[FW.04H]One student conserves 3 cups of water by turning off the tap while brushing teeth for 2 minutes. What is the approximate amount of water 4 students woul
Why did the USA send the military to Dominican Republic?
HELP ME PLEASEEEEEEEEE
Who is the antagonist in "Wiley, His Mother, and the Hairy Man" and why? Wiley is the antagonist because he tries to scare away the Hairy Man. Wiley’s mama is t
At Happy Pizza, an 8-inch pizza costs $6.00 and a 16-inch pizza costs $14.00. Which pizza is a better deal?​
The area of a rectangle is 81cm^2 what are the dimensions if the perimeter is minimum. What is the value of these minimum perimeter?
The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Japanese American instrument AR quiz
PLSS HELP ME I DONT UDNERSTAND THISS