Question

Which equation finds the value of x in the triangle below?

X
20⁰
○ cot70⁰ = 2
O
12
O cot70º = 12
O sec 20⁰ = 2
O sec 20°.
12
X
12
N
Z
X

Answer 1

The equation to calculate the value of x in the right triangle is x = 12/cot(20)

How to determine the value of x

from the question, we have the following parameters that can be used in our computation:

The right triangle

The value of x can be calculated using the following tangent ratio

tan(20) = opposite/adjacent

Substitute the known values into the equation

tan(20) = x/12

So, we have

x = 12 * tan(20)

This can be expressed as

x = 12/cot(20)

Hence, the equation of x is x = 12/cot(20)