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
polet [3.4K]
3 years ago
12

A dead tree was struck by lightening causing it to fall over at a point 10 ft up from its base. If the fallen treetop forms a 40

° angle with the ground, about how tall was the tree originally?
Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:


25.6 ft


Step-by-step explanation:


Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.

But you can use trigonometry.

The broken tee and trunk form a right triangle with the ground.

The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.

So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.

You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).

Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:

h+=+10%2FSin%2840%29

h+=+10%2F0.643

h+=+15.6ft.

Now add this to the 10-ft stump:

10+15.6 = 25.6 ft.

The tree was 25.6 ft originally.



You might be interested in
Your town requires you to place your recyclables in the same size bins. The base of the recycle bins measures 24 inches, the hei
Ksivusya [100]
Just add 13.25 and 17.25 which gives you 30.5
4 0
3 years ago
Read 2 more answers
Miguel spent a total of $60 at the grocery store. Of this amount , he spent $18 on fruit. What percentage of the total did he sp
Paraphin [41]

Answer:

30%

Step-by-step explanation:

A percent can be found by dividing the part by the whole, or

part/whole

In this case, the part is the amount he spent on fruit. The whole is the total amount he spent.

amount spent on fruit/ total amount spent

He spent $18 on fruit, and $60 in total.

$18/ $60

Divide 18 by 60

18/60

0.3

Convert 0.3 to a decimal by multiplying by 100 or moving the deicaml place two spots to the right.

0.3*100=30

0.3--> 3.0 --> 30

30%

He spent 30% on fruit.

4 0
3 years ago
HELP PLEASE Which relation is a function of x? ​
lorasvet [3.4K]

Answer:

ok i did one of these before it was the 2nd or 3rd one

6 0
3 years ago
Graph the circle x2 + y2 - 12x + 6y +36 =0​
RoseWind [281]

x^2+y^2-12x+6y+36=0

Top Point: (6,0)

Left Point: (3,-3)

Right Point: (9,-3)

Bottom Point: (6,-6)

7 0
3 years ago
Read 2 more answers
An art teacher has a roll of mural paper that is 5 meters long.
Ivenika [448]
<h3>Answer: 50</h3>

"deci" means tenth, so "decimeter" means "tenth of a meter"

0.10 meter = 1 decimeter

1 meter = 10 decimeters (multiply both sides by 10)

5 meters = 50 decimeters (multiply both sides by 5)

The teacher can get 50 pieces out of the roll of paper

6 0
3 years ago
Other questions:
  • Find the Volume of the following shape.
    7·1 answer
  • Write 121 raised to the one-half power equals 11 as a logarithmic function
    15·1 answer
  • The cost of having a package delivered has a base fee of $10.80. Every pound over 5 lbs cost an additional $0.41 per pound. Writ
    10·2 answers
  • What is the surface area to a cylinder
    14·1 answer
  • Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!
    9·2 answers
  • What is an equation of the line that passes through the point (-5,2)(−5,2) and is parallel to the line 4x-5y=54x−5y=5?
    11·1 answer
  • HELP ASAPPP<br> What is 60% of 40?
    12·2 answers
  • 1 1/4 X 5 3/4 = _________________
    12·2 answers
  • Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How m
    15·1 answer
  • Chris wrote the following checks: $19, $25, $5, and $100. He began with $255 in his
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!