Question

Use the inverse trigonometric keyson a calculator to find the measureof angle A

Answer 1

A = 51°

Step-by-step explanation

ABC is a right triangle. We know the length of the hypotenuse, AB = 44 m, and the length of the adjacent leg to angle A, AC = 28 m. To find the measure of angle A we have to use the cosine of that angle,

`\cos A=(AC)/(AB)`

Solving for A,

`A=\cos^(-1)\left((AC)/(AB)\right)`

Replace with the known values and solve,

`A=\cos^(-1)\left((28)/(44)\right)=\cos^(-1)\left((7)/(11)\right)\approx50.4788\degree\approx51\degree`

Hence, the measure of angle A is 51°, rounded to the nearest whole number.