Question

Let ∠Q be an acute angle such that tanQ=0.04. Use a calculator to approximate the measure of ∠Q to the nearest tenth of a degree.
m∠Q≈ __∘

Answer 1

We have been given that ∠Q is an acute angle such that $\text{tan}(Q)=0.04$. We are asked to find the measure of angle Q to nearest tenth of a degree.

We will use arctan to solve for measure of angle Q as:

$Q=\text{tan}^{-1}(0.04)$

Now we will use calculator to solve for Q as:

$Q=2.290610042639^{\circ}$

Upon rounding to nearest tenth of degree, we will get:

$Q=2.3^{\circ}$

Therefore, measure of angle Q is approximately 2.3 degrees.