Answer:
= 24.57 to the nearest hundredth
Step-by-step explanation:
The three sides of a right-angled triangle have specific names:
- The hypotenuse (H) is the longest side. It is opposite the right angle.
- The opposite side (O) is opposite the angle in question.
- The adjacent side (A) is next to the angle in question.
The 3 trigonometric ratios are:

For the given triangle we are given the angle, the hypotenuse, and need to find the side that is ADJACENT to the angle.
Therefore, we would use the trig ratio: 
Substituting the values from the triangle: 
Multiply both sides by 30: 
Therefore, 
So
= 24.57 to the nearest hundredth
Answer:
105°
Step-by-step explanation:
m(15) = 75°
Also it's given that m||n . So taking y as transversal ,
m(15) = m(13) = 75°
Also it's given that x||y . So taking m as transversal ,
m(13) = m(5) = 75°
Now m(5) & m(1) are linear pair. So ,
m(5) + m(1) = 180°
=> 75° + m(1) = 180°
=> m(1) = 180° - 75°
= 105°
Answer:
A cylinder with radius 5
Step-by-step explanation:
Answer: √7 feet
Step-by-step explanation:
Hypotenuse(h)=4ft
Base(b)=3ft
Now,Using pyhagoras theorem,
h²=p²+b²
4²=p²+3²
16-9=p²
p=√7feet
Hence, the remaining side is √7feet