Advertisements
Advertisements
प्रश्न
Find the value of 'y' if `sqrt(3)` = 1.723.
Given your answer correct to 2 decimal places.
Advertisements
उत्तर
In right ΔPRS,
tan45° = `"PR"/"RS"`
⇒ 1 = `"PR"/(12)`
⇒ PR = 12
In right ΔQRS,
tan30° = `"QR"/"RS"`
⇒ `(1)/sqrt(3) = "QR"/(12)`
⇒ QR = `(12)/sqrt(3)`
Now,
y = PQ
= PR - QR
= `12 - (12)/sqrt(3)`
= `12 - (12)/(1.732)`
= 12 - 6.93
= 5.07.
APPEARS IN
संबंधित प्रश्न
If 2 sin x° − 1 = 0 and x° is an acute angle; find:
- sin x°
- x°
- cos x° and tan x°.
Solve the following equation for A, if 2cos2A = 1
Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0
If sin 3A = 1 and 0 < A < 90°, find cos 2A
Solve for x : 3 tan2 (2x - 20°) = 1
Find the value of 'A', if (1 - cosec A)(2 - sec A) = 0
Find lengths of diagonals AC and BD. Given AB = 24 cm and ∠BAD = 60°.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cos72° - cos88°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: tan77° - cot63° + sin57°
If sin(θ - 15°) = cos(θ - 25°), find the value of θ if (θ-15°) and (θ - 25°) are acute angles.
