Question

Arnob may want to borrow his cousin’s tent, which is shown below. He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. (Picture below)

What is the center height of this tent, to the nearest tenth of a foot?

4.1 feet
8.1 feet
9.8 feet
12.0 feet

Answer 1

In this question, we will use Pythagoras theorem in order to find the height of the tent.

Answer 2

The center height of tent is 8.1 feet.

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

What is Pythagoras theorem?

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Given,

Side length of each triangle = 4 feet

Hypotenuse of each triangle = 9 feet

Shared side = x

Given the triangles are right angled,

According to Pythagoras theorem,

a² + b² = c²

Here, a = 4 , b = x , c= 9

Substitute the values in Pythagoras theorem,

4² + x² = 9²

16 + x² = 81

x² = 81 - 16

x² = 65

Taking square root on both sides

x = √65

x = 8.062

x = 8.1 (Rounding nearest tenth)

Hence, the center height of tent is 8.1 feet.

Learn more about right triangle here:

brainly.com/question/6322314

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