Question

Find x. Round to the nearest tenth.

Answer 1

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

Answer 2

x = 466.7 feet

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)