Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
4 square root of 3 over 9
Answer:
°
Step-by-step explanation:
The sum of all the three angles of any triangle is 180°
Putting sum of all the angles given equals to 180°

°
°
°

°
The value of the x is found on solving the given angles of the triangles.
Answer:

Step-by-step explanation:
Colored Fabric = 48 mm
White Fabric = 1.2 cm
<u><em>Ratio of white fabric to colored fabric is:</em></u>
48 mm : 1.2 cm
To express any ratio, we need to equalize the units ( 1 cm = 10 mm)
=> 48 mm : 12 mm
÷12 ÷12
=> 4 : 1
D
The sun heating up a pool.