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
The circumference of a circle is
olganol [36]

Answer:

The measurement around the circle

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
One angle of a triangle measures 136º. The other two angles are congruent.
WINSTONCH [101]

Answer:

22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + x + 136° = 180°

2x + 136° = 180° ( subtract 136° from both sides )

2x = 44° ( divide both sides by 2 )

x = 22°

3 0
2 years ago
What is the probability that a two-digit number selected at random has a tens digit less than its units digit
Reika [66]

The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

A=24B=90\\\\P=A/B\\\\P=24/90\\p=4/15

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.

The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.

Learn more about probability here: brainly.com/question/24756209

#SPJ4

6 0
2 years ago
6 less than twice a number is at least 15. Write an inequality and solve.
Ivan

Answer:

2a-6>=15 this is because the key word at least means it can be 15 or higher but it cannot be less than 15.

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP
Crank

Answer:

Listeriosis is an infection caused by the bacteria Listeria monocytogenes. People become infected by eating foods contaminated with the bacteria. Listeria may infect many different sites in the body, such as the brain, spinal cord membranes, or the bloodstream

Step-by-step explanation:

People with invasive listeriosis usually report symptoms starting 1 to 4 weeks after eating food contaminated with Listeria

5 0
3 years ago
Read 2 more answers
Other questions:
  • Measure the length of the top of your desk in centimeters.describe how you found the length
    13·1 answer
  • Lesson 5 mod1 answer key 7.1
    10·1 answer
  • 2y-2x=8<br><br> convert into y=mx+b format
    7·2 answers
  • Paloma plotted two different integers with the same absolute value on a number line. The distance between the two numbers must b
    10·2 answers
  • HELP ASAP!! NO WORK NEED!!Triangle ABC is a right triangle. Which equation can be used to find the value of x? CHECK ALL THAT AP
    15·2 answers
  • Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer.
    12·1 answer
  • The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who
    5·1 answer
  • A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of
    5·1 answer
  • What is the equation of the line that has a slope of 4 and passes through the points (9,4)
    10·2 answers
  • A movie theater ordered 212 boxes of candy to sell at the the theater. Each box had 75 pieces of candy. How many pieces of candy
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!