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
ella [17]
3 years ago
12

To measure a stone face carved on the side of a​ mountain, two sightings 900 feet from the base of the mountain are taken. If th

e angle of elevation to the bottom of the face is 31degrees and the angle of elevation to the top is 34degrees​, what is the height of the stone​ face?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

Height of the stone​ face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone​ face,

Height of the stone​ face = CD

CD = AD - AC

In ΔABC we have

             tan31=\frac{AC}{AB}\\\\tan31=\frac{AC}{900}\\\\AC=540.77feet

In ΔABD we have

             tan34=\frac{AD}{AB}\\\\tan34=\frac{AD}{900}\\\\AD=607.06feet

CD = AD - AC = 607.06 - 540.77 = 66.29 feet

Height of the stone​ face = CD = 66.29 feet

You might be interested in
Which is true about the triangle in the diagram?
artcher [175]

Answer:

Angle S and angle T are congruent.

3 0
2 years ago
Use the line tool to graph the equation on the coordinate plane. y=3/4x
Nataly_w [17]
I've graphed it for you below. 

3 0
3 years ago
Read 2 more answers
Find the slope of the line that passes
Annette [7]

Answer:

1

Step-by-step explanation:

(2-0) / (6-4)

2/2

xxxxxxxx

4 0
2 years ago
Read 2 more answers
A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
Kobotan [32]

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Learn more about permutation here

brainly.com/question/1216161

#SPJ4

5 0
1 year ago
Sharon has a hula hoop with a circumference of 88 inches. What is the approximate diameter of her hula hoop?
timurjin [86]

Answer:

28.0

Step-by-step explanation:

The circumference is diameter*3.14 (pi). So for this you divide to get the diameter. Hope this helps! :)\

88/3.14=28.0

3 0
3 years ago
Other questions:
  • A sunflower grows an average of 5mm per week. Write an equation for the sequence that represents the weekly height of this sunfl
    5·1 answer
  • 3/4(x+8)>1/2(2x+10)​
    13·1 answer
  • Big Dog Building is the one of the largest cement companies in the Midwest. When the firm raised its prices by 11 percent, all o
    14·1 answer
  • What is 5:90 when it is simplified
    12·2 answers
  • If
    14·1 answer
  • Is or can math be a fundamental part of everything in the world?
    6·1 answer
  • How do I find the first four terms of the sequence?
    7·1 answer
  • Which table represents a proportion relationship?
    11·1 answer
  • What do the parentheses mean in the expression 8(5x 9x + 6)?
    5·2 answers
  • HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!