Question

The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36º.

Find the length of the longer diagonal to the nearest whole number.
A.44ft
B.105 ft
C.69 ft
D.64 ft

Answer 1

Explanation:

the longer diagonal is =

√(40²+70²+2(40)(70)cos 36°)

= √(1600+4900+5600(0.8))

= √ 6500 + 4530

= √11,030

= 105 ft