Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.
x = yd

Answer 1

75 yd

Explanation:

Given in the question a right angle triangle.

Base of right angle triangle = x

Height of right angle triangle = 40yd

To find x we will use trigonometry identity

TanФ = opposite / adjacent

here Ф = 62°

opposite = base

adjacent = height

Plug values in the formula to find x

Tan(62) = x / 40

x = (40)(Tan(62))

= 75.229 yd

≈ 75 yd

Answer 2

The value of x is:

x=75.2 yard.

Explanation:

We are given a right triangle with base 40 yard.

Also, the perpendicular length of the triangle corresponding to angle 62° is: x

Now we find the value of x using the trignometric formula as:

`\tan 62\degree=(x)/(40)`

We know that the value of tan 62°=1.88073

Hence, we have:

`1.88073=(x)/(40)\\\\\\x=40* 1.88073\\\\\\x=75.2292`

Hence, we have: x=75.2 yard