SOLUTION: In ΔDEF, the measure of ∠F=90°, the measure of ∠E=83°, and EF = 79 feet. What would the length of DE be to the nearest tenth of a foot?
Algebra.Com
Question 1030144: In ΔDEF, the measure of ∠F=90°, the measure of ∠E=83°, and EF = 79 feet. What would the length of DE be to the nearest tenth of a foot?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Triangle DEF is a right
angled triangle with ∠F = 90 degrees
and ∠E = 83 degrees.
Using Cosine ratio:
Cos(83) = adjacent/hypotenuse
Cos(83) = 79/ hypotenuse
Hypotenuse (DE) = 79/cos(83)
DE = 648.2 feet
Hope this helps :-)
RELATED QUESTIONS
In triangle MNO, the measure of ∠N is 90°, and ∠M = ∠O. If ΔMNO... (answered by Edwin McCravy)
∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large... (answered by cleomenius)
Find the degree measure of ∠B.
Given m∠B = 2x+46, m∠E = 3x-1,... (answered by Edwin McCravy)
If point E is in the interior of ∠ABC and m∠EBC=23 and m∠ABC=88, what... (answered by Theo)
If m∠C = 83 and m∠D = 48, what is the measure of... (answered by Alan3354)
In the figure below, line m is parallel to line n, and line t is a transversal crossing... (answered by richard1234)
Find the measure of each angle.
∠G∠G and ∠H∠H are... (answered by Fombitz)
arallelogram ABCD is translated 8 units to the right and 2 units up, and its image is... (answered by math_helper)
If ΔDEF and ΔJKL are two triangles such that ∠D ≅ ∠J, which... (answered by jim_thompson5910,ikleyn)