Multiply that by the height since the base is already length X width thats all you need to do, and you get 1562.4!
Answer: 4.5 miles
Explanation:
When you draw the situation you find two triangles.
1) Triangle to the east of the helicopter
a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°
b) hypotensue = distance between the high school and the helicopter
c) opposite-leg to angle 20° = heigth of the helicopter
d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x
2) triangle to the west of the helicopter
a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°
b) distance between the helicopter and the elementary school = hypotenuse
c) opposite-leg to angle 62° = height of the helicopter
d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x
3) tangent ratios
a) triangle with the helicpoter and the high school
tan 20° = Height / x ⇒ height = x tan 20°
b) triangle with the helicopter and the elementary school
tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°
c) equal the height from both triangles:
x tan 20° = (5 - x) tan 62°
x tan 20° = 5 tan 62° - x tan 62°
x tan 20° + x tan 62° = 5 tan 62°
x (tan 20° + tan 62°) = 5 tan 62°
⇒ x = 5 tant 62° / ( tan 20° + tan 62°)
⇒ x = 4,19 miles
=> height = x tan 20° = 4,19 tan 20° = 1,525 miles
4) Calculate the hypotenuse of this triangle:
hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²
hipotenuse = 4.46 miles
Rounded to the nearest tenth = 4.5 miles
That is the distance between the helicopter and the high school.
Answer:
Step-by-step explanation:
<u>Ratio of corresponding sides of similar triangles are:</u>
<u>Substitute values</u>
- (9+3)/3 = 12/x
- 4 = 12/x
- x = 12/4
- x = 3
The number -6.75 is rational if it is an integer or decimal. -6.75 is a decimal, so -6.75 is rational, not irrational.
ANSWER: rational
Answer:
1. 23.0 cm
2. 21.0 ft
3. 31.0 yd
Step-by-step explanation:
1. 30/sin110 = RT/sin46
RT = sin46 × 30/sin110
RT = 22.96516279
2. Angle A = 180 - 61 - 53 = 66°
24/sin66 = AB/sin53
AB = sin53 × 24/sin66
AB = 20.98116966
3. 18/sin28 = HP/sin54
HP = sin54 × 18/sin28
HP = 31.01850475
