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2 years ago

Find x. Round to the nearest tenth.

Mathematics

2 answers:

poizon [28]2 years ago

8 0

Angle of elevation remains same as they are alternative angles

cosØ=Base/Hypotenuse
cos31=400/x
x=400/cos31
x=466.65ft

Find y

tanØ=Perpendicular/Base
tan31=y/400
y=400tan31
y=240.34ft

lions [1.4K]2 years ago

4 0

Answer:

x = 466.7 feet

Step-by-step explanation:

Finding the top angle of the triangle :

They are complementary
90° - 31°
59°

Take the tan value of this angle to find y :

tan 59° = 400/y
1.66427948 =400/y
y = 400 / 1.66427948
y = 240.344248

Using Pythagorean Theorem to find x :

y² + 400² = x²
x = √(240.344248)² + 160000
x = √57765.3575 + 160000
x = √217765.357
x = 466.7 feet (nearest tenth)

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