Ifede can use a limited number of spells to defeat trolls and goblins. It takes the same number of spells to defeat each troll, and it takes 3 spells to defeat each goblin. Let T represent the number of trolls and G represent the number of goblins that Ifede can defeat without running out of spells.

5T + 3G (less than equal to) 85

According to the inequality, how many spells does it take to defeat each troll, and what is the maximum number of spells that Ifede can use?

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

p< -25

t> 12

r> 17

step-by-step explanation: