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
Tanzania [10]
3 years ago
7

You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from

the ground to the top of the statue to be 61º. Find the height h​ of the statue to the nearest foot.
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

height ≈ 31 ft

Step-by-step explanation:

The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue.  The angle of elevation from the ground to the top of the statue  is 61°. The height of the statue can be computed below.

adjacent side of the triangle = 17 ft

opposite side = a

Using SOHCAHTOA principle

tan 61° = opposite/adjacent

tan 61° = a/17

cross multiply

a = 17 tan 61°

a = 17 × 1.80404775527

a = 30.6688118396

a ≈ 31 ft

You might be interested in
An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c
rewona [7]

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable.  The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal".  And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0
3 years ago
Please creeper keeps answering but link doesnt work plaese help
DedPeter [7]

Answer:

The answer is A: y^2/2x

Step-by-step explanation:

Hope this helps please mark brainliest  :)

6 0
2 years ago
How I solve 11−12y=3+6x for y.
Ganezh [65]

Answer: Y = -x/2+2/3

3 0
3 years ago
How do I set up an equation
tiny-mole [99]

the equation here would be set up by doing

44.4 - 10.9 = 33.5

Carlsbad caverns is 33.5 kilometers long.

6 0
3 years ago
Read 2 more answers
What is the area of this parallelogram?<br><br> in or in2
Ket [755]

Answer:

A=30 in

Step-by-step explanation:

Solution

A=bh=5·6=30

6 0
3 years ago
Read 2 more answers
Other questions:
  • here are the ingredients for making fish pie for 5 people. 180g flour,240g fish,80g butter,4 eggs, 180ml milk . Lan makes a fis
    15·2 answers
  • How do u put a fraction to make a decimal
    13·2 answers
  • What is the slope of the line through the points -4,7 and -8,8
    14·1 answer
  • The area of a square gate is 361 feet squared what is the length of any side of the gate
    12·1 answer
  • Of the 240 sandwiches Joanna makes, 20% are tuna sandwiches, 40% are ham sandwiches, and the rest are egg salad sandwiches. How
    8·1 answer
  • Misha and Nora want to buy season passes for a ski lift but neither of them has the $225 needed to purchase a
    5·1 answer
  • E/f + f/e if e is 15 and f is 9
    10·2 answers
  • Smallest number to the largest number 0.078,0.78,0.87,0.708
    5·2 answers
  • ASAP Ben fold 126 and 200 and his first two games what must he Bowl in his third game to get an average of at least 190​
    11·2 answers
  • Olya would like to find a way to reduce her current debt. the table below shows olya’s monthly income, expenses and net income.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!