The measure of angle A is [tex]\boxed{{{36.87}^ \circ }}.[/tex]
Further explanation:
The Pythagorean formula can be expressed as,
[tex]\boxed{{H^2} = {P^2} + {B^2}}.[/tex]
Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.
The formula for sin of angle a can be expressed as
[tex]\boxed{\sin a = \frac{P}{H}}[/tex]
The formula for cos of angle a can be expressed as
[tex]\boxed{\cos a = \frac{B}{H}}[/tex]
The formula for tan of angle a can be expressed as
[tex]\boxed{\tan a = \frac{P}{B}}[/tex]
Given:
The length of side AB is [tex]72{\text{ units}}.[/tex]
The length of side BC is [tex]54{\text{ units}}.[/tex]
The length of side AC is [tex]90{\text{ units}}.[/tex]
Explanation:
In triangle ABC,
[tex]\begin{aligned}{\text{Sin}} A &= \frac{{54}}{{90}}\\ A&= {\sin ^{ - 1}}\left( {\frac{{54}}{{90}}} \right)\\A&= {36.87^ \circ }\\\end{aligned}[/tex]
The measure of angle A is [tex]\boxed{{{36.87}^ \circ }}.[/tex]
Kindly refer to the image attached.
Learn more:
1. Learn more about transformation of triangle https://brainly.com/question/2992432.
2. Learn more about defined and undefined angles https://brainly.com/question/3717797.
3. Learn more about coordinates of the image point https://brainly.com/question/7437053.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Trigonometry
Keywords: angle, measure, nearest, 72, 54, 90, right angled triangle, right angle, triangle, instructions, Pythagoras theorem.
