Question

Let angleD be an acute angle such that sin D = 0.19. Use a calculator to approximate the measure of angleD to the nearest tenth of a degree.
measure of angle D = °​

Answer 1

We have been given that angle D is an acute angle such that $\sin(\angle D)=0.19$. We are asked to find the measure of angle D using calculator.

We will use arcsin to solve for angle D.

$\angle D=\sin^{-1}(0.19)$

Using calculator, we will get:

$\angle D=10.952784198891^{\circ}$

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

$\angle D\approx 11.0^{\circ}$

Therefore, the measure of angle D is approximately $11.0^{\circ}$.