In the figure below, tan B = 4/3. If BC = 15 and DA = 3, what is the length of DE ?



A. 8

B. 12

C. 6

D. 9


In The Figure Below,tan B = 4/3. IfBC= 15 AndDA= 3, What Is The Length OfDE?A. 8B. 12C. 6D. 9

Answers

Answer 1

Answer:12

Step-by-step explanation:

Answer 2

The length of the segment in the right triangle is 6 unit.

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

A right angle triangle,

In which, tan B = 4/3, BC = 15 and DA = 3,

the length of DE = ?

suppose, the length of BD is  x

and the length of DE is h.

we can use trigonometric formula her;

sin B  = AC/BC  

sin B = AC/15

if the value of tan B is 4/3 then the value of sin B will be 4/5.

AC/15  = 4/5

AC  = 12

Now, tan B = 4/3 = 12/AB

AB = 16

Now we can use similarity of triangles;

DE/BD = AC/AB

DE  = BD x (AC/AB)

BD  = AB/2

DE  = 8 x 12/16

      = 6

Therefore, the length of DE is 6 unit.

To know more about angle check:

https://brainly.com/question/28451077

#SPJ2


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Step-by-step explanation:

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https://brainly.com/question/19678086#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=thats%201%20year.,thats%202%20years.

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Answers

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Step-by-step explanation:

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Answer:

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We simplify the equation to the form, which is simple to understand  

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