Explanation

The ratio of the length of the rod to its shadow is 1:√3.

This ratio is equal to the tangent of the angle of elevation of the sun (tan(θ) = opposite/adjacent).

So, we can set up the equation: tan(θ) = 1/√3

To find the angle θ, we take the inverse tangent (arctangent) of both sides: θ = arctan(1/√3)

Using a calculator or trigonometric tables, we find that θ = 30°

Explanation

The correct phrase is "to fly in the face of."

This meaning to openly oppose or defy something.

It often going against common beliefs or norms.

Explanation

The relative speed of the two trains is the sum of their individual speeds, since they're moving in opposite directions: 62 km/h + 40 km/h = 102 km/h

Convert the relative speed from km/h to m/s: 102 km/h x (1000 m / 3600 s) = 28.33 m/s (approximately)

The time it takes for the trains to cross each other is given as 18 seconds.

The total distance covered by the trains during this time is the sum of their lengths. Let's call the length of the other train "x". Then, the total distance = 260 m + x

Since the relative speed is 28.33 m/s, the total distance can also be calculated as: Total distance = Relative speed x Time = 28.33 m/s x 18 s = 510 m

Equate the two expressions for total distance: 260 m + x = 510 m

Solve for x: x = 510 m - 260 m = 250 m

Explanation

An illative conjunction expresses an inference or conclusion.

Such as "so," "therefore," or "thus," connecting ideas by indicating a logical result.

Explanation

حافظ محمود شیرانی کا اردو کے نامور محققوں میں شمار ہے۔

تحقیق سے ان کی طبیعت کو فطری مناسبت تھی۔

ان کا وطن پنجاب ہے۔ وہیں ان کا قیام رہا۔

Explanation

Since 12 pumps can empty the tank in 20 minutes, the rate at which they empty the tank is 1 tank / 20 minutes.

With 2 pumps out of order, we have 12 - 2 = 10 pumps left. Since the rate is directly proportional to the number of pumps, the rate of the remaining 10 pumps is:

10/12 × (1 tank / 20 minutes) = 1 tank / 24 minutes

So, the remaining 10 pumps will take 24 minutes to empty the tank.

Explanation

In computer science, the levels of representation are typically shown from high-level to low-level as:

• High-level: Software (e.g., C++, COBOL, JAVA)
• Low-level: Hardware (e.g., machine code, assembly language)

Explanation

10^-12: Picosecond (ps)

10^-6: Microsecond (μs)

10^-9: Nanosecond (ns)

10^-3: Millisecond (ms)

10^-18: Attosecond (as)

10^-15: Femtosecond (fs)

10^-21: Zeptosecond (zs)

10^-24: Yoctosecond (ys)

Explanation

The Taliban formed their first government in Afghanistan in 1996, after capturing Kabul, the capital city, on September 27, 1996.

They established the Islamic Emirate of Afghanistan and imposed their strict interpretation of Islamic law (Sharia) on the country.

Explanation

Pakistan's budget deficit for the fiscal year 2021-2022 was 7.9% of the budgetary target, or Rs 5.259 trillion.

The total revenue for the fiscal year was Rs 8035.383 billion, and the total expenditure was Rs 13,295.275 billion.