The calculated measure of the angle is 63.76 degrees
How to determine the measure of the angle
from the question, we have the following parameters that can be used in our computation:
The right triangle
The value of θ can be calculated using the following tangent ratio
tan(θ) = opposite/adjacent
Substitute the known values into the equation
tan(θ) = 14/6.9
So, we have
tan(θ) = 2.0290
This can be expressed as
θ = tan⁻¹(2.0290)
Evaluate
θ = 63.76 degrees
Hence, the measure of the angle is 63.76 degrees