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
irina1246 [14]
3 years ago
9

john wants to measure the hieght of a tree. he walks exactly 100 ft from the base of the tree and looks up. the angle from the g

round to the top of the tree is 33. how tall is the tree​
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

The tree is 64.9 ft tall.

Step-by-step explanation:

Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.

For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.

The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.

tan A = opp/adj

tan 33º = y/100

y = 100 * tan 33º

y = 64.9

Answer: The tree is 64.9 ft tall.

You might be interested in
Solve x = log9(4)<br> **Round your answer to the nearest hundredth.
Alexus [3.1K]
Log base 9 of 4 is .63
4 0
3 years ago
PLS help with the question in the picture!
slega [8]

Answers:

y = 50

angle AOB = 100

=========================================

Explanation:

Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.

Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.

-------------------

Point O is the center of the circle. This is because "circle O" is named by its center point.

Angle AOB is considered a central angle as its vertex point is the center of the circle.

Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.

This is the inscribed angle theorem.

Using this theorem, we can say the following

central angle = 2*(inscribed angle)

angle AOB = 2*(angle x)

angle AOB = 2*50

angle AOB = 100 degrees

6 0
3 years ago
I'm thinking of a ten-digit integer whose digits are all distinct. It happens that the number formed by the first n of them is d
PIT_PIT [208]
The problem here takes a brilliant mind to answer this. This problem can easily be answered using programming because we can not then and there push all the possibilities using paper and pen.
The answer is 3816547290. 
Trying all the possibilities starting form 1000000080 (we are sure that the last number should be 0). Then traversing that number until 9999999990. Each traverse, check the number if its divisible to n, so on and so forth.
3 0
3 years ago
Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.
Ede4ka [16]
<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>Point Y is the midpoint of segment XZ</u></em>

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

2(3x + 1) = 5x + 22

6x + 2 = 5x + 22

6x - 5x = 22 - 2

<h3>x = 20</h3>

Thus, value of x is 20

6 0
3 years ago
Twenty divided by 60
frutty [35]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Two friends start a business. Together they spent 800 dollars for their initial inventory. They will sell all of their initial i
    9·1 answer
  • The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the
    7·2 answers
  • Can someone help me pls
    12·1 answer
  • Four more than the quotient of a number and 9 equals 2<br><br> Translate it to an equation
    12·1 answer
  • 37 less than the product of 15 and a number is 38
    14·2 answers
  • A 15 lb. costs $19.50. At that same rate, how much would 12 1/2 lb. ham cost?
    9·2 answers
  • 36 red beads, 49 green and 76 blue beads are to be packed into packets, each containing 3 red, 5 green and 7 blue beads respecti
    5·1 answer
  • I NEED HELP ASAP PLS DO STEP BY STEP WILL GIVE BRAINLIEST!!!!!!!!!!!!!
    9·1 answer
  • HELPPPPPPPPP PLEASEEEEEE I NEEED HELPPPPPPPP BEGGINGGGG SOMEONE PLEASEEEEEE PLEASEEEEEEE HELPPPPPPPPPPPPPP PLEASEEEEEEEE​
    14·1 answer
  • If n is parallel to m, which of the following statements are true? Select all that apply.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!