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
Pachacha [2.7K]
3 years ago
12

How tall is a building that casts a 73 foot shadow when the angle of elevation of the sun is 29

Mathematics
1 answer:
Ilya [14]3 years ago
7 0
We use trigonometry for this problem. You might have learned about SOH CAH TOA. In right triangles, when given an angle, you can name the three sides of the triangle a certain part: Opposite, Adjacent, and Hypotenuse.

For this problem, we are given the angle and the ADJACENT length (73). We want to find the OPPOSITE side's length.
TOA
We must use the tangent function.

TOA helps us remember this relationship:
tan( theta ) = opposite / adjacent.

Plug in our values:

tan(29 degrees) = opposite / 73

Multiply by 73 to isolate "opposite" and solve for it.

73 * tan(29) = opposite.

Using a calculator, the answer is approximately 40.46 ft.

You might be interested in
a store sells 2 pounds of tomatoes for $7. Write an equation that represents the cost, c, for t pounds of tomatoes
algol13

Answer:

t pounds = 3.5 (or just t = 3.5c)

Step-by-step explanation:

2 pounds of tomatos for 7$ means that one pound of tomatos for 3.5$. Therefore, t pounds = 3.5 c

5 0
3 years ago
Please slove step by step for both
Serggg [28]

Answer:

Step-by-step explanation:

8. 21+7 = 28

9. 73-17 =56

3 0
3 years ago
Read 2 more answers
Need help with another question please
hoa [83]
The answer for this is m
=
5.436564
v
2
?
3 0
3 years ago
What number must be added to the expression below to complete the square?
stiv31 [10]

D. 1/4

Explanation:

a perfect square is written in the form

(x+a)^2 = x^2 + 2ax +a^2 (1)

In our problem, we have this perfect square:

x^2 - x + C (2)

with C being unknown. However, by comparing (1) and (2), we know that

2a=-1

So, we find

a=-\frac{1}{2}

and therefore, the missing term must be

a^2 = \frac{1}{4}

so the complete square is

x^2 -x +\frac{1}{4}

7 0
2 years ago
Read 2 more answers
Tricia is going to write Patterns A, B, and C using the rule add 15. The first
8_murik_8 [283]

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.  

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

5 0
3 years ago
Other questions:
  • What is the radical form of the expression 2 3/4<br><br> 3√4^2<br> 4√3^2<br> 3√2^4<br> 4√2^3
    13·1 answer
  • Write an equation of the line that is perpendicular to the line y =1/2x + 8 that passes through the point (4,6).
    10·1 answer
  • An unbiased sample is one in which every member of the group has an equal chance of being chosen. True or false
    8·1 answer
  • Change the mixed<br>number to an improper<br>froction<br>31/10​
    14·2 answers
  • Plzzz help and explain how you got the answer
    10·1 answer
  • Substitution or Elimination.
    14·1 answer
  • Can someone please explain to me how I do this?
    8·2 answers
  • 4x 4/4 is equal to 1 , since 4/4 is equal to 1
    5·1 answer
  • Compute $\sqrt{0.5625}$. Express your answer as a decimal.
    12·1 answer
  • The roots of f(x) = 2x2 + 2x - 4 at which x-values?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!