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
Artemon [7]
3 years ago
9

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

he statue. Then the person looks down at an angle of 14 degrees when staring at the base of the statue. How tall is the statue to the nearest tenth of a foot?
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

You might be interested in
Which figure is a counterexample to the following statement?
Artemon [7]

The correct option is D.

Option A. isn't even about quadrilater, so we can immediately discard it.

Option B. statement is true, but has nothing to do with the point of the question. In fact, it is true that every square is in particular a rectangle, but in turn every rectangle is a parallelogram. So, there's no counterexample here

Option C. is false, because a dart is a parallelogram: both of its opposite sides are parallel.

Option D. finally presents a counterexample. In fact, The two bases of a trapezoid are parallel, but the two other sides are not. So, a trapezoid is not a parallelogram, even though it has a pair of parallel sides. This is way, in order to be a parallelogram, it is necessary for the quadrilateral to have two pairs of parallel sides.

4 0
3 years ago
Triangle ABC is a right triangle.
mina [271]

Answer:

They are complementary.

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

where

A,B and C are the measures of the interior angles of triangle

In a right triangle

The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees

so

A+B+90°=180°

A+B=180°-90°

A+B=90°

Remember that

If two angles are complementary, then their sum is equal to 90 degrees

therefore

A and B are complementary angles

3 0
3 years ago
Read 2 more answers
What is the slope?<br> Please help!!!
adell [148]
Check the picture below.

8 0
3 years ago
Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?
erik [133]

Answer:

$22.34

Step-by-step explanation:

24 pennies is .24 of a dollar

62 nickels will be: (62 x 5) / 100 = 3.10

55 dimes is 5.5

16 quarters will be 4.0

19 fifty-cents will be 9.5

Add them up to get $22.34 if I’m right.

Hope this helped.

5 0
3 years ago
Vupti vvo 1.5(A): Solving Linear Equatior<br> your work.<br> 4n-10 =12
Lubov Fominskaja [6]

Answer:

n = 5.5

Step-by-step explanation:

4n - 10 = 12

       4n = 12 + 10

       4n = 22

          n = 22/4

          n = 5.5

5 0
3 years ago
Other questions:
  • Please help me with this math problem :)
    15·1 answer
  • What's the equation of the line with a slope of -3 (m=-3) that passes through (-1,2)
    7·1 answer
  • Please help me ASAP!!!!!
    11·1 answer
  • alis dog weighs 8 times as much as her cat. together, the two pets weigh 54 pynds. how much does Alis dog weigh?
    10·1 answer
  • Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an
    10·1 answer
  • What are the measures of angles 1 and 2?
    11·1 answer
  • The measure of 3 angles of a triangle are 6x, 4x, and 8x. What is the measure of the largest angle?
    12·1 answer
  • DO NOT EXPLAIN WILL GIVE BRAINLIEST
    9·1 answer
  • I don’t understand so please HELPPPPPPPPPPPPPP
    8·2 answers
  • = 3 and 1/2 × 3 and 1/2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!