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
Marizza181 [45]
2 years ago
5

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

he tower as 40° and 55° respectively. Find the distance between the two friends.
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

You might be interested in
How to solve duoble angle formulas with an angle not on the unit circle
lord [1]
I dont really know how to answer tht but hope this helps....A trigonometric equation is one in which the unknown to be solved for is an angle (call it θ) and that angle is in the argument of a trigonometric function such as sin, cos or tan. A trigonometric equation always has an infinite number of solutions, but it is customary to list only those angles between 0° and 360°.
6 0
3 years ago
Jacob’s toybox is 4 1/3 feet times 3 feet times 5 feet what is the volume of his toybox
n200080 [17]
V=l*w*h
V=4 1/3*3*5= 65
Answer= 65
8 0
2 years ago
Read 2 more answers
_________ is the ratio of the vertical change to the horizontal change between any two points on a line.
leva [86]
Rate of change or slope. Hope it helps. 
4 0
2 years ago
In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o
Nikitich [7]

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

\tan(B/2) = \frac 34

This gives

\tan(B/2) = 0.75

Take the arc tan of both sides

B/2 = 36.87

Multiply by 2

B = 73.74

Next, calculate the length of side AD using the following equation

AD = \tan(B) * BD

This gives

AD = \tan(73.74) * 4

AD =13.71

The area of the triangle is then calculated as:

Area = AD * BD

This gives

Area = 13.71 * 4

Area = 54.84

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
The roosevelt middle school band is having a fundraiser. They sold a total of 300 hotdogs and hamburgers. Hot dogs were sold for
STALIN [3.7K]

Answer:

180 hamburgers

120 hotdogs

Step-by-step explanation:

In this question, we are asked to calculate the number of hamburgers and hotdogs sold by a company given the amount made by them and the total number of these snacks sold

We proceed as follows;

Let the amount of hotdogs sold be x and the amount of hamburgers sold be y.

We have a total of 300 snacks sold, mathematically;

x + y = 300 ..........(I)

Now let’s look at the prices.

x number of hotdogs sold at $2, this give a total of $2x hotdogs

y number of hamburgers sold at $3, this give a total of $3y.

Adding both to give total, we have ;

2x + 3y = 780.......(ii)

This means we have two equations to solve simultaneously. From equation 1, we can say x = 300 -y

Now let’s insert this in the second equation;

2(300-y) + 3y = 780

600-2y + 3y = 780

y = 780-600 = 180

Recall; x + y = 300

x = 300 -y

x = 300-180 = 120

5 0
2 years ago
Read 2 more answers
Other questions:
  • There are 17 occupied seats on the bus,11 seats are empty. What is the ratio of number of occupied seats to empty seats?
    15·1 answer
  • Four multiplied by the sum of 8 and a number is the same as 59 more than the number. find the number.
    9·1 answer
  • Please help quick!!!!!
    15·1 answer
  • PLZ HELP ASAP LAST SIMMILAR AND CONGRUENT TRIANGLES
    6·1 answer
  • In this problem, the tapes used were assumed to be 30.0 m long. Later, when the tapes were standardized, they were found to have
    13·1 answer
  • QUICK does anyone know this? if so please answer i need to turn this in asap!
    13·2 answers
  • Find the measure of a 2.<br> 45 135<br> 62 = [?]
    8·1 answer
  • First right brainliest
    9·2 answers
  • Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
    13·1 answer
  • What is the answer?<br> r=4 b=6 d=5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!