Question

10

X
5T Q15 Finding side lengths in a compound shape
Calculate the length of x. Give your answer correct to 3 significant figures.
Tools
11
Calculate the value of x. Give your answer to 3 significant
figures
BC = 5 * tan
50
12
5 cm
BC =
to 3 s.f.
13
B
с
x tan 38
38°
Show your working A
X=
cm to 3 s.f.
14
* cm
15
16
Reset
Q1 of 1
Next
Check Answers
Results
M

Answer 1

Answer/Step-by-step explanation:

✔️Find BC:

Reference angle = 50°

Opposite = BC

Adjacent = 5 cm

Based on trigonometric ratio, thus:

Tan 50 = BC/5

Multiply both sides by 5

BC = 5 × tan 50

BC = 5.96 cm (to 3 s.f)

✔️Find x:

Reference angle = 38°

Opp = x

Adj = BC = 5.96 cm

Based in trigonometric ratio, thus:

Tan 38 = x/5.96

Multiply both sides by 5.96

x = 5.96 × tan 38

X = 4.66 (3 s.f)