Question

Find the value of

x
xx in the triangle shown below.
x
=
x=x, equals

∘
∘
degrees

5
8
∘
58
∘

x
∘
x
∘

6
6
6
6
5.8
5.8

Answer 1

The value of the angle x is 61.31°

The triangle is shown in the figure, we have to determine the value of angle x in degrees.

To determine the angle, we must apply the sine formula using the angle-side combination.

Sine formula is given as:

sin A/a = sin B/b=sin C/c

sin58/5.8=sin x/6

Simplifying the above expression:

sin x=0.877

Find the sine inverse of the value to determine the value of x, we have;

x = sin⁻¹(0.877)

x= 61.31°

Answer 2

10

Explanation:

he question lacks appropriate diagram. Find the diagram attached below.

From the isosceles triangle shown, we can see that it is made up of two right angled triangle.

Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;

From the formula:

Hyp² = Opp²+Adj²

Adj² = Hyp² - Opp²

The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.

Given Hypotenuse = √74

Opposite = 7

Adj² = Hyp²-Opp²

Adj² = (√74)² - 7²

Adj² = 74-49

Adj² = 25

Adj = √25

Adj = 5

The adjacent of both sides are equal

x = 2 × Adjacent side

x = 2(5)

x = 10