Please help me solve this problem with work
1 answer:
Answer:
m∠B ≈ 51.5°
Step-by-step explanation:
A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.
<h3>Length BC</h3>The Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529
a ≈ 24.8903
<h3>Angle B</h3>The Law of Sines tells us ...
sin(B)/b = sin(A)/a
B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)
B ≈ 57.519°
The measure of angle B is about 57.5°.
You might be interested in
Answer:
The calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.
Step-by-step explanation:
Given:
Length of the Kitchen shelf = 26 3/8 inches
Width of the Kitchen Shelf = 15 1/2 inches
Incorrect measurement of the length of the kitchen shelf = 25 inches
Solution:
The Actual length of the kitchen shelf is
But she measured as 25 inches
So the error in the measurement will be
=>Correct length of the shelf - Incorrect length of the shelf
=> - 25
Coverting the mixed fraction to fraction,
=> - 25
=> - 25
=>1.375