Question

Lalit's height is 35 cm more than Vicky's height . Their combined height is 185 cm. What is Vicky's height ?

Answer 1

Inverse trig functions: arcsine, arccosine, and arctangent

Now let’s look at the problem of finding angles if you know the sides. Again, you use the trig functions, but in reverse. Here’s an example. Suppose a = 12.3 and b = 50.1. Then tan A = a/b = 12.3/50.1 = 0.2455. Back when people used tables of trig functions, they would just look up in the tangent table to see what angle had a tangent of 0.2455. On a calculator, we use the inverse trig functions named arctangent, arcsine, and arccosine. Usually there’s a button on the calculator labelled “inv” or “arc” that you press before pressing the appropriate trig button. The arctangent of 0.2455 is 13.79, so the angle A is 13.79°. (If you like, you can convert the 0.79 degrees to minutes and seconds.)

That’s all there is to it.

The other three trigonometric functions:

Answer 2

Answer:

vicky's height - x

lalith's height - x + 35

sum of their heights -

x + x + 35 = 185

2x + 35 = 185

2x = 185 - 35

2x = 150

x = 150/2

x = 75

vicky's height is 75 cm

Lalith's height is 75+ 35 = 110