The cache is located 15 yards west and 8 yards south from the water fountain. This forms a right triangle, so we can use the Pythagorean theorem to find the distance from the water fountain to the cache.
a^2 + b^2 = c^2
(15)^2 + (8)^2 = c^2
225 + 64 = c^2
289 = c^2
c = sqrt(289)
c = 17 yards
Therefore, the cache is 17 yards away from the water fountain. This means the answer is B. 17 yards.
One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fountain at a local park. Then, the directions had her walk 15 yards due west and 8 yards due south. If this was the location of the cache, how far was it from the water fountain where she started?
A.
12 yards
B.
17 yards
C.
23 yards
D.
7 yards
3 answers
Right triangle
If x = 17 cm and y = 8 cm, what is the length of z?
A.
15 cm
B.
14 cm
C.
19 cm
D.
13 cm
If x = 17 cm and y = 8 cm, what is the length of z?
A.
15 cm
B.
14 cm
C.
19 cm
D.
13 cm
To find the length of z in a right triangle, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Given:
a = 17 cm
b = 8 cm
Plugging these values into the equation:
17^2 + 8^2 = z^2
289 + 64 = z^2
353 = z^2
z = √353
z ≈ 18.8 cm
Therefore, the length of z is approximately 18.8 cm. None of the given answer options are exactly 18.8 cm, but the closest option is C. 19 cm.
a^2 + b^2 = c^2
Given:
a = 17 cm
b = 8 cm
Plugging these values into the equation:
17^2 + 8^2 = z^2
289 + 64 = z^2
353 = z^2
z = √353
z ≈ 18.8 cm
Therefore, the length of z is approximately 18.8 cm. None of the given answer options are exactly 18.8 cm, but the closest option is C. 19 cm.
1 answer