Visitors enter the museum through an enormous glass entryway in the shape of a tetrahedron. The figure shows the dimensions of the tetrahedron. The pitch is angle θ. What is the pitch of the tetrahedron’s slanted façade to the nearest degree?

(Hint: First find the sides of the big right isosceles triangle with a base of 260 feet. Then, look at the smaller green triangle to find θ using the inverse sine.)

Question

Visitors enter the museum through an enormous glass entryway in the shape of a tetrahedron. The figure shows the dimensions of the tetrahedron. The pitch is angle θ. What is the pitch of the tetrahedron’s slanted façade to the nearest degree? 

(Hint: First find the sides of the big right isosceles triangle with a base of 260 feet. Then, look at the smaller green triangle to find θ using the inverse sine.)

campbell_st · Answer

well given you don't have an image try this

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if the triangle is right isosceles then the base angles are 45

so to find the length of the sides

use with sin or cos

$$\sin(45) = \frac{x}{260}$$

so 

$$x = 260 \times \sin(45)$$

just evaluate to find x. 

the remainder makes no sense without the diagram... what/where is the small green triangle.

anonymous · Answer

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