Solution :In the given triangle ABC, $\angle B=90°$, $C = \theta$.We know that the sum of all the angles in a triangle is 180°.$\angle A+ \angle B + \angle C=180°$$\angle A+ 90°+ \theta = 180°$$\angle A = 180° - (90°+ \theta)$$\angle A = 180° - 90°- \theta$$\angle A = 90°- \theta$$\angle C = \theta$$\angle A + \angle C = 90°$Therefore, $\angle A$ and $\angle C$ are complementary.$sin C = sin \theta = \frac{AB}{AC} $$cos C = cos \theta = \frac{BC}{AC} $$sin A = sin (90-\theta) = \frac{BC}{AC}= cos C = cos \theta $$cos C = cos (90-\theta) = \frac{AB}{AC}=sin C ... Read More

Ohm's law states that the voltage across a resistor is directly proportional to the current flowing through it. Ohm's law is named for German physicist Georg Ohm. In simple terms, Ohm's law gives the relationship between current, voltage, and resistance. V = irwhere, V = voltage across resistori = currentr = resistence

In an electrical circuit, the electric potential difference between two points (E) is defined as the amount of work done (W) by an external agent in moving a unit charge (Q) from A to B.The Unit of potential difference is joules per coulomb, which is also given the name volt (V) after the name of Alessandro Volta.So, the formula for Potential Difference is: E = W/QWhere,E = Electrical potential difference between two points,W = Work done in moving a charge from A to B.Q = Quantity of charge in coulombs.

SI unit of Current : The SI unit of current is ampere. It is denoted by 'A'. It measures the flow of electric charge across a surface at the rate of one coulomb per second. Since the charge is measured in coulombs and time in seconds, the unit is coulomb/Sec or amp. Mathematically, the current is given as: $I=\frac{V}{R}$Where,I = Electric CurrentV = VoltageR = Resistance

Strong acids are corrosive in nature and are a strong dehydrating agent. When corrosive acids react with the skin, they hydrolyze the fats. Strong acids are harmful to the skin, eyes, and respiratory tract. Acids are harmful to the digestive system when swallowed.Acids react violently with water and are harmful in the presence of moisture in the mouth or eyes. Also, vapours of some acids are soluble in water and can cause damage to the human eyes, nasal passages, throat, and lungs. The above image shows a hand after 2 seconds of contact with nitric acid. Symptoms: ... Read More

In a plane mirror, object distance ( u ) = Image distance ( v ) The rays that are coming from a far object when they get reflected from the mirror, these reflected rays they appear to be coming from an image (when rays are extended back) that is formed behind the mirror. So originally, these rays are coming from the same distance. Hence though the mirror gives us an illusion of the object being close to us, but actually the rays from the image are coming from the same distance as the ... Read More

To solve such problems we simply replace % sign with 1/100 and 'of' will be replaced by multiplication sign so,53% of 53 will be 53 x (1/100) x 53 = 28.09