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
Can someone help me with this?! thanks!!
Vera_Pavlovna [14]

Answer:

you literally just translate each shape by the number of squares specified.

Step-by-step explanation:

for example, move shape 1 5 squares to the right, then 4 down. it will be in the middle area of quadrant 1 (where it already is).

4 0
3 years ago
Read 2 more answers
Classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.
LenaWriter [7]

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

4 0
3 years ago
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find t
valkas [14]
Large fish:10
Small fish: 5
Total: 15
Large fish with red: 5
Probability: 5/15 or 1/3 or 33.333333%

Please mark brainliest if this helped
Thank you
6 0
2 years ago
120 is 160% of what number?
oksian1 [2.3K]
If that number is x:

120 = 1.60x
x = 120/1.60=75
8 0
3 years ago
Read 2 more answers
Simplify the expressioh 6.9-(-5)+4.1
Vadim26 [7]

Answer:

16

Step-by-step explanation:

6.9-(-5)+4.1

When we subtract negatives, it is like adding positives

6.9 +(5)+4.1

11.9 + 4.1

16

8 0
3 years ago
Other questions:
  • 6x+3-8x=12-7 <br><br>I need a step by step guide ​
    9·1 answer
  • 9 more than galls height is 50
    12·1 answer
  • If x5 = y3, then x = ?
    14·1 answer
  • $745 is deposited into an account that earns 4% simple interest for 8 years.
    7·2 answers
  • Which number line represents the solution set for the inequality 3(8 – 4x) &lt; 6(x – 5)?
    10·1 answer
  • PLZ HELPPPP<br><br> C candies cost 5 dollars. how much money would 12 dollars cost?
    11·2 answers
  • 2/7 x N = 8/5 <br> What is the fraction for N?
    6·2 answers
  • Use your equivalent expression to find the area of Brian's garden, in square feet, if x = 3 and y = 4. 3 points Part A: The area
    12·1 answer
  • There are 13 students in a homeroom. How may different ways can they be chosen to be elected President, Vice President, Treasure
    13·1 answer
  • Change 21/4 to a mixed number​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!