answer.
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
Stella
2 months ago
12

George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.

20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

Mathematics
1 answer:
Leona [12.6K]2 months ago
7 0
Create a visual representation to depict the situation outlined below.

Let h signify the height of the tree.

Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB

This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m

Final result: 5.82 m

You might be interested in
which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of
AnnZ [12381]

Given:

The equation at hand is:

y=5x

In this context, x represents the total tickets sold for the school play, while y indicates the total revenue generated from ticket sales.

To find:

The appropriate table of values from the provided options.

Solution:

It's clear that both the number of tickets and the revenue collected cannot be negative, which means that options A and B are not viable.

We have:

y=5x

For x=0,

y=5(0)

y=0

For x=10,

y=5(10)

y=50

For x=51,

y=5(51)

y=255

For x=400,

y=5(400)

y=2000

In option C, the ordered pairs (0,0), (10,50), (51,255), (400,2000) are present in the table. Thus, option C is the correct choice.

For x=65

y=5(65)

y=325

As the ordered pair (65,350) does not fulfill the requirements of the equation, thus option D is incorrect.

Consequently, the right option is C.

8 0
2 months ago
Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z
babunello [11817]
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
5 0
2 months ago
Read 2 more answers
Tiffany is solving an equation where both sides are quadratic expressions. She sets each quadratic equation equal to y and graph
Zina [12379]

Answer:

Step-by-step explanation:

The graph can take on three forms as displayed in the figure.

(a) having no intersections

(b) having a single point of intersection (tangency)

(c) having two points of intersection.

Consequently, the maximum number of intersections that these graphs can yield is 2, as illustrated in figure (c).

3 0
1 month ago
Read 2 more answers
A grocery store wants to examine the relationship between the sales amounts each day at two different locations, store A and sto
Leona [12618]

Response:

The average of the 10 sales figures for store A is $40,000.

Detailed explanation:

Provided;

yˆ= −3,000 + 1.2x...................... (1)

Where;

x = daily sales amounts at store A or the average of the 10 sales amounts for store A =?

yˆ = daily sales amounts at store B or the average of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solving for x, yields:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Consequently, the mean of the 10 sales figures for store A is $40,000.

8 0
1 month ago
Other questions:
  • It rounded to the nearest dime what is the greatest amount of money that rounds to $105.40
    6·2 answers
  • Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
    12·1 answer
  • Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
    14·2 answers
  • The balanced scale represents the equation: 3x + 1 = x + 3
    10·1 answer
  • A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to k
    10·1 answer
  • in football a player statistic for offensive yards is the sum of his rushing yards and his receiving yards in a game. ali is the
    9·1 answer
  • Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin. The
    12·2 answers
  • The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a
    5·2 answers
  • Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel
    12·2 answers
  • The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per da
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!