Respuesta :
Answer:
Given below.
Step-by-step explanation:
1) Hypotenuse
2) Using Pythagoras theorem:
35² + 12² = c²
c = √1225+144
c = √1369
c = 37 ....this is the length of missing side.
Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.
3) sin(θ) = opposite/hypotenuse
sin(θ) = 35/37
4) cos(θ) = adjacent/ hypotenuse
cos(θ) = 12/37
5) tan(θ) = opposite/adjacent
tan(θ) = 35/12
#1
- Hypotenuse
#2
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow H^2=25^2+12^2=1225+144=1369[/tex]
[tex]\\ \tt\hookrightarrow H=37[/tex]
#3
[tex]\\ \tt\hookrightarrow Sin\theta=\dfrac{35}{37}[/tex]
#4
[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{12}{37}[/tex]
#5
[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{35}{12}[/tex]