Question

What is the measurement of angle A to the nearest degree?

Answer 1

50.789°

Sorry for not giving more details, links don't work and it's way to hard to write the formulas that you probably have in your course anyway.

Answer 2

Answer:

The measurement of angle A is 51°

Step-by-step explanation:

Given: A triangle with some measurements.

We have to find  the measurement of angle A

Consider the given triangle,

Using Sine rule,

For a , b and c be the sides of the triangle and Side a faces angle A,  

side b faces angle B and  side c faces angle C.

we have,

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

Here, given a = 7 in

b = 9 in

∠B = 95°

Substitute, we have,

$\frac{7}{\sin A}=\frac{9}{\sin 95^{\circ}}=\frac{c}{\sin C}$

Consider the first two ratios, we have,

$\frac{7}{\sin A}=\frac{9}{\sin 95^{\circ}}$

Now, Cross multiply , we have,

$\sin A=\frac{7 \times \sin 95^{\circ}}{9}$

Simplify, we have,      

$\sin A=0.7748$

A = 51°

Thus, The measurement of angle A is 51°