# What is the value of y? 11.6 ft 12.5 ft 16.5 ft 17.5 ft

2 answers

## Answers

To solve the exercise shown in the picture attached, you must apply the following proccedure:

1. First, you must apply the Pythagorean Theorem to calculate the heigth of the triangle, as below:

a^2=b^2+c^2

b=√(a^2-c^2)

b=√(14)^2-(8)^2

b=√132

b=11.48

2. Now, you must calculate the angle ∠BC, as below:

Sin(α)^-1=opposite/hypotenuse

Sin(BC)^-1=8/14

∠BC=34.84°

3. Therefore, the angle ∠BA is:

∠BA=90°-34.84°

∠BA=55.15°

4. Then, you have:

Tan(55.15°)=y/11.48

y=16.48

We know that

in the triangle BCD

cos C=8/14

C=arc cos (8/14)> C=55.15°

sin C=BD/14> BD=14*sin 55.15> BD=11.49 ft

in the triangle ABC

180=∡A+∡B+∡C

∡A=180-(90+55.15)> ∡A=34.85°

tan A=BD/y> y=BD/tan A> y=11.49/tan 34.85> y=16.50 ft

the answer is

y=16.50 ft

#### Similar Solved Works

10 answers

### Pl me fast this is really urgent ! mark for brainliest ! 1.) consider this dilation. (a) is the image

Pl me fast this is really urgent ! mark for brainliest ! 1.) consider this dilation. (a) is the image of the dilation a reduction or an enlargement of the original figure? explain. (b) what is the scale factor? explain. [tex]Pl me fast this is really urgent ! mark for brainliest ! 1.)...

9 answers

### FIND THE AREA (LEAVE EXPLANATION)

FIND THE AREA (LEAVE EXPLANATION) [tex]FIND THE AREA (LEAVE EXPLANATION)[/tex]...

8 answers

### Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0).

Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?...

3 answers

### Each row contains the degree measures of two complementary angles. Complete the table.

Each row contains the degree measures of two complementary angles. Complete the table. [tex]Each row contains the degree measures of two complementary angles. Complete the table. [/tex]...

3 answers

### What were the Jews put through during the Holocaust? Explain.

What were the Jews put through during the Holocaust? Explain....

3 answers

### What bewildering incidents happen to scout and ahem

What bewildering incidents happen to scout and ahem...

3 answers

### What kind of wood is noah supposed to use to build the ark?

What kind of wood is noah supposed to use to build the ark?...

2 answers

### In general, how did the types of items traded east (from china) to west differ from the types of items

In general, how did the types of items traded east (from china) to west differ from the types of items traded west to east? (2)...

3 answers

### Find a parametric representation for the surface. the part of the sphere x2 + y2 + z2

Find a parametric representation for the surface. the part of the sphere x2 + y2 + z2 = 16 that lies between the planes z = −2 and z = 2. (enter your answer as a comma-separated list of equations. let x, y, and z be in terms of θ and/or ϕ.)...

4 answers

### The governments of the countries where the Lord’s Resistance Army operates have fought the LRA vigorously and successfully

The governments of the countries where the Lord’s Resistance Army operates have fought the LRA vigorously and successfully destroyed its operations (True or False)...

1 answer

### Find the following inequalities

Find the following inequalities [tex]Find the following inequalities[/tex]...

4 answers

### I am bored can some play chess or checkers with me on cool math I. d.k

I am bored can some play chess or checkers with me on cool math I. d.k...

2 answers

### During the global depression, war debts caused great suffering in A. France B. Germany C. Great Britain D. The United States

During the global depression, war debts caused great suffering in A. France B. Germany C. Great Britain D. The United States...

5 answers

### Kayleigh is a medical coder. She maintains hundreds of electronic health records and makes sure that providers have all the information

Kayleigh is a medical coder. She maintains hundreds of electronic health records and makes sure that providers have all the information about patients’ medical histories. She also helps providers follow laws regarding medical records. The field Kayleigh works in is what...

10 answers

### Two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied

two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied to points a and b on a flagpole, as shown below: two ropes, ad and bd, are tied to a peg on the ground at point d. the other ends of the ropes are tied to points a and b on a flagpole. angle adc m...

7 answers

### The members of the second continental congress sent the olive branch petition to king george iii because

The members of the second continental congress sent the olive branch petition to king george iii because a. they wanted him to know the colonies were ready for war. b. they hoped he would replace the members of parliament. c. they were willing to remain loyal if he addressed complaints. d. they hope...

4 answers

### Read the excerpt from the land, part 2. none of us spoke right up. i knew that was because we all had

Read the excerpt from the land, part 2. none of us spoke right up. i knew that was because we all had the same fear. my daddy's voice was soft, but we knew his mind. that was his prized horse standing there bleeding, and we knew he wasn't about to take that lightly. what does this excerpt tell the r...

3 answers

### What are the solutions of the quadratic equation below?x2 - 4x - 6 = 0O x = 2 + 12O x = 2 + V10O x = -2+2O x = -2

What are the solutions of the quadratic equation below? x2 - 4x - 6 = 0 O x = 2 + 12 O x = 2 + V10 O x = -2+2 O x = -2 + V10 Answer quickly pls [tex]What are the solutions of the quadratic equation below? x2 - 4x - 6 = 0 O x = 2 + 12 O x = 2 + V1[/tex]...