Question

find the value of x​
options
(1)10
(2)5
(3)19root 3

Answer 1

Answer:

2) 5

Step-by-step explanation:

using Trigonometric value

tan 60 = h/x = √3

h = √3x

tan 30 = h /x + 10 = 1/√3

h = x + 10/√3

as h is same equate

$\sqrt{3} x = \frac{x + 10}{ \sqrt{3} } \\ \sqrt{3} \times \sqrt{3} x = x + 10 \\ 3x = x + 10 \\ 3x - x = 10 \\ 2x = 10 \\ x = \frac{10}{2} \\ x = 5$

hope you get your answer