Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
Two noncongruent triangles, each with side 6 cm and an angle measuring 40 degrees This might be it
Step-by-step explanation:
Answer:
The system of inequalities is equal to
Step-by-step explanation:
Let
x-----> the number of hours that Malik works at a hardware store
y-----> the number of hours that Malik works as a lifeguard
we know that
-----> inequality A
-----> inequality B
Using a graphing tool
The solution is the shaded area
see the attached figure