Does the table represent a linear or nonlinear function? explain

Do these two problems

Does the table represent a linear or nonlinear function? explain
Do these two problems

Solved

Show answers

Ответ:

britt0412

08.01.2020

Mathematics

Please find the attached diagram for a better understanding of the solution provided here.

In the attached diagram, OP is the height of the tree.

Rest of the diagram should be sufficiently self explanatory.

In $\Delta OPH$ ,

$tan(30^0)=\frac{OP}{x}$

$\therefore \frac{OP}{tan(30^0)}=x$ .........................Equation #1

Again, in $\Delta OPL$ ,

$tan(20^0)=\frac{OP}{PH+HL}=\frac{OP}{x+50}$

$\therefore \frac{OP}{tan(20^0)}-50=x$ .........................Equation #2

Thus, equating the equations Equation #1 and Equation #2, we have:

$\frac{OP}{tan(30^0)}=\frac{OP}{tan(20^0)}-50$

Evaluating we get:

1.732(OP)=2.747(OP)-50

1.015(OP)=50

$\therefore OP=\frac{50}{1.015}\approx49.26 ft$

Thus the height of the tree is approximately 49.26 feet

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Does the table represent a linear or nonlinear function? explain Do these two problems