Question

What is the value of x to the nearest degree?
Answer options: 48, 42, 24, 84.

Answer 1

The correct answer is option (1). 48

Explanation:

Formula:-

Tan α = Opposite side/Adjacent side

From the given figure we can see that, its a right angled triangle.

T find the value of x

Tan α = Opposite side/Adjacent side

here α = x

Tan x = 11/10 = 1.1

Therefore x = tan⁻¹(1.1) = 47.7 ≈ 48

The correct answer is option (1). 48

Answer 2

48

Explanation:

tan theta = opposite side/ adjacent

tan x = 11/10

Take the arctan of each side

arctan tan x = arctan (11/10)

x =arctan (11/10)

x = 47.72631099

To the nearest degree

x = 48