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. 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

Solution:

{ Refer to the attachment for the figure }

The given triangle is ΔABC whose sides are AB = 9 ft, BC = 8 ft and CA = 9 ft. AD = x ft is the height of the tent and is perpendicular bisector of BC.

Thus BD = CD = 4 ft

Since ΔABD is a right-angled triangle, we use the Pythagoras theorem to determine AD,

AD² + BD² = AB²

or, x² + 4² = 9²

or, x² = 9² - 4²

or, x² = 81 - 16

or, x² = 65

or, x = 8.06 , since x cannot be negative

Therefore x = 8.1 ft

Answer 2

Answer:

the answer is B or 8.1 feet