dianabello016 dianabello016
  • 03-06-2022
  • Mathematics
contestada

right triangles to find the exact length of:
T
30°
14 in
a) TI = in
60°
R

right triangles to find the exact length of T 30 14 in a TI in 60 R class=

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 03-06-2022

Answer:

a) TI = 7√3 in

b) IR = 7 in

Explanation:

Using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(30) = \dfrac{TI}{14}[/tex]

[tex]\hookrightarrow \sf TI = 14cos(30)[/tex]

[tex]\hookrightarrow \sf TI = 7\sqrt{3}[/tex]

Using sine rule:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(30) = \dfrac{IR}{14}[/tex]

[tex]\hookrightarrow \sf IR = 14sin(30)[/tex]

[tex]\hookrightarrow \sf IR = 7[/tex]

Answer Link

Otras preguntas

Imagine you are shopping in a bookstore. Tell about something that you see in the bookstore that you like or dislike. Answer the following question using gustar
At an oceanic - oceanic convergent plate boundary, _______.
If there are 1,200 calories in 8 oz of hot fudge, how many calories are in 3 oz of hot fudge?
What is 594 divided by 34
The height of a triangle is 4 inches more than the base. The area of the triangle is 35 square inches. Find the base and height of the triangle.
help me with this please
If two objects at different temperatures are in contact with each other, what happens to their temperatures?
Why did the women of Seneca Falls choose to echo the language in the Declaration of Independence?
Waters ____ makes it excellent solvent for salts like sodium chloride as well as other substances required by cells to carry out metabolic processes
16/18 reduced to lowest term