Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = ; y = 20 sin 45 ; y= 14.14 miles
cos 45 = ; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+
= +
= 3131.08
=
z = 55.96 miles
Answer:
Big Smiles Toy Company should choose Box B as its volume is 82.5 larger than Box A
Step-by-step explanation:
Given
Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height
Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height
Volume of Box A= Lengthwidth
height=
Volume of Box B =Length width
height=
Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5
Box B has 82.5 volume larger than Box A
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) =
tan(27)° =
0.509525 =
WX =
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>
