How do i Find m∠D.?

enter image source here

1 Answer
Serena D.
Mar 21, 2018

The measure of angle D is approximately 22.1 degrees

Explanation:

Law of sines: #a/sinA=b/sinB=c/sinC#, where c is the length of the hypotenuse, C is the right angle (opposite the hypotenuse), and a and b are the legs, A and B are the legs' respective opposite angles

#8/sin90=3/sinD#

#3*sin90=8*sinD#

#3=8*sinD#

#sinD=3/8 rarr# This is the sine of angle D

#sin^-1(3/8)=D#

#D~~22.1 rarr# The measure of angle D is approximately 22.1 degrees

Related questions
Impact of this question
4262 views around the world
You can reuse this answer
Creative Commons License