Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
Answer:
less than
Step-by-step explanation:
Think about it as if it was on the number line. What ever is further to the right is greater. This make 0.2 less that 0.4.
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet
Your brother is now 11. If your brother is 3, you put '8+x'=x+5 to get your cousins age. Once you have x+5, set it equal to 2(x-3) and solve that. You should get x+5=2x-6 and you get x=11. You add 8 to get your cousins age. So your brother is 11 and your cousin is 19.
