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

The measurement of angle A is 51°

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,

`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)`

Here, given a = 7 in

b = 9 in

∠B = 95°

Substitute, we have,

`(7)/(\sin A)=(9)/(\sin 95^(\circ))=(c)/(\sin C)`

Consider the first two ratios, we have,

`(7)/(\sin A)=(9)/(\sin 95^(\circ))`

Now, Cross multiply , we have,

`\sin A=(7 * \sin 95^(\circ))/(9)`

Simplify, we have,

`\sin A=0.7748`

A = 51°

Thus, The measurement of angle A is 51°