Homework Help: math

Posted by Dan on Friday, November 2, 2012 at 10:02am.

Alexa and Emma are looking up at their house from the backyard. From alexa's point of view, the top of the house is at an ang;e of elevation of 40 degree. From Emma's point of view, directly closer to the house, it is 60 degree. The house is 15 metres high. How far apart are the two girls?

math - Henry, Sunday, November 4, 2012 at 6:40pm
We draw 2 rt. triangles with a common
ver. side and a shared hor. side with
separate hyp:

X = hor. = X1 + X2 = Alexa's dist. from
the house.
X1 = Emma's dist. from the house.
X2 = The dist. between the girls.
Y = Ver. = 15 m.

tan60 = Y/X1 = 15/X1.
X1 = 15/tan60 = 8.66 m.

tan40 = Y/(X1+X2).
tan40 = 15/(8.66+X2)
8.66+X2 = 15/tan40 = 17.88
X2 = 17.88 - 8.66 = 9.22 m. = Dist.
between the girls.

Answer this Question

Related Questions

UOP - Assuming Alexa receives $20,000 in gross rental receipts, answer the ...
accounting - Assuming Alexa receives $20,000 in gross rental receipts, answer ...
Math 5/6 - How do you solve -(-2/3)^3 ?
physics - A particle at rest undergoes an acceleration of 2.5 m/s^2 to the right...
art need help - 1. This is the study of beauty and art. (1 point)ethics harmony ...
Math - How do you graph the equation y=kx?
Reading - Who's point of view is it from, if it's not any of the ...
functions - john's paint crew knows from experience that its 18 ft ladder is...
MATH - K we are learning about Linear Equations and Graphs. And I'm doing ...
math - what is a sixth grade division problem with the number 17 in it?

For Further Reading

First Name:
School Subject:
Answer: