Question 1: The indicated angle is 30°
Question 2: The indicated angle is 44°
Question 3: The indicated angle is 39°
Question 4: The indicated angle is 18°
Question 5: The indicated angle is 37°
Question 6: The indicated angle is 17°
Step-by-step explanation:
As all the triangles are right-angled triangle, trigonometric ratios can be used to find the indicated angles.
Let x be the angle
Question 1:
The according to the angle
P = 22
B = 38
Tangent ratio uses both base and perpendicular so,
[tex]tan\ x=\frac{P}{B}\\tan\ x= \frac{22}{38}\\tan\ x=0.5789\\x=tan^{-1} (0.5789}\\x = 30.06\\x=30[/tex]
The indicated angle is 30°
Question 2:
According to the angle,
P = 28
B = 29
Again we will use tangent
[tex]tan\ x =\frac{P}{B}\\tan\ x=\frac{28}{29}\\tan\ x=0.9655\\x=tan^{-1}(0.9655)\\x=43.99\\x=44[/tex]
The indicated angle is 44°
Question 3:
According to angle,
P = 22
H = 35
[tex]sin\ x=\frac{P}{H}\\sin\ x =\frac{22}{35}\\sin\ x=0.6286\\x=sin^{-1}(0.6286}\\x=38.94\\Rounding\ off\ to\ nearest\ degree\\x=39[/tex]
The indicated angle is 39°
Question 4:
According to angle,
B = 3
H = 9
We will use cos
[tex]cos\ x =\frac{B}{H}\\cos\ x=\frac{3}{9}\\cos\ x=0.3333\\x=cos^{-1}(0.3333)\\x=18.43\\Rounding\ off\ to\ nearest\ degree\\x=18[/tex]
The indicated angle is 18°
Question 5:
According to indicated angle,
B =35
H =46
[tex]cos\ x =\frac{B}{H}\\cos\ x=\frac{35}{46}\\cos\ x=0.7609\\x=cos^{-1}(0.7609)\\x=37.2\\Rounding\ off\ to\ nearest\ degree\\x=37[/tex]
The indicated angle is 37°
Question 6:
According to angle,
P = 15
H = 49
[tex]sin\ x=\frac{P}{H}\\sin\ x =\frac{15}{49}\\sin\ x=0.3061\\x=sin^{-1}(0.3061}\\x=17.02\\Rounding\ off\ to\ nearest\ degree\\x=17[/tex]
The indicated angle is 17°
Keywords: Trigonometric Ratios, Right angled triangle
Learn more about right angled triangle at:
- brainly.com/question/96882
- brainly.com/question/96535
#LearnwithBrainly
